Found 171 Documents (Results 1–100)
Orthogonal groups over fields of positive characteristic. (Spanish. English summary) Zbl 1513.11131
The non-orientable 4-genus for knots with 10 crossings. (English) Zbl 1493.57002
Reviewer: Kenneth A. Perko Jr. (Scarsdale)
MSC:
57K10
Obstructions to shake sliceness for links. (English) Zbl 1485.57005
MSC:
57K10
A user’s guide to basic knot and link theory. (English) Zbl 1492.57001
Vershik, Anatoly M. (ed.) et al., Conference on topology, geometry, and dynamics. V. A. Rokhlin-100. The Euler International Mathematical Institute and Steklov Institute of Mathematics, St. Petersburg, Russia, August 19–23, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 772, 281-309 (2021).
Embedding spheres in knot traces. (English) Zbl 1486.57026
Reviewer: Yuichi Yamada (Tokyo)
Classification of spherical fusion categories of Frobenius-Schur exponent 2. (English) Zbl 1452.18022
MSC:
18M20
Stably slice disks of links. (English) Zbl 1455.57009
Reviewer: Kenneth A. Perko Jr. (Scarsdale)
MSC:
57K10
Whitney towers and abelian invariants of knots. (English) Zbl 1478.57004
Reviewer: Lee P. Neuwirth (Princeton)
Orientable 4-dimensional Poincaré complexes have reducible Spivak fibrations. (English) Zbl 1420.57065
Reviewer: Jonathan Hodgson (Swarthmore)
The Arf-Brown TQFT of pin\(^-\) surfaces. (English) Zbl 1426.57048
Ayala, David (ed.) et al., Topology and quantum theory in interaction. NSF-CBMS regional conference in the mathematical sciences: topological and geometric methods in QFT, Montana State University, Bozeman, MT, USA, July 31 – August 4, 2017. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 718, 49-87 (2018).
The mapping class group orbits in the framings of compact surfaces. (English) Zbl 1432.57029
Reviewer: Sang-hyun Kim (Seoul)
The pass move is an unknotting operation for welded knots. (English) Zbl 1397.57014
MSC:
57M25
57M27
Clifford algebras as twisted group algebras and the Arf invariant. (English) Zbl 1401.15023
Reviewer: Danail Brezov (Sofia)
The nonmultiplicativity of the signature modulo 8 of a fibre bundle is an Arf-Kervaire invariant. (English) Zbl 1393.55008
Reviewer: Jonathan Hodgson (Swarthmore)
Real Clifford algebras and quadratic forms over \({\mathbb{F}}_2\): two old problems become one. (English) Zbl 1359.11032
On Slavik Jablan’s work on 4-moves. (English) Zbl 1353.57017
Reviewer: Kenneth A. Perko jun. (New York)
MSC:
57M27
Geometric filtrations of string links and homology cylinders. (English) Zbl 1338.57005
Reviewer: Jonathan A. Hillman (Sydney)
Introductory lectures on surgery theory. (English) Zbl 1358.57002
Cheng, Shiu-Yuen (ed.) et al., Introduction to modern mathematics. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-305-0/pbk). Advanced Lectures in Mathematics (ALM) 33, 3-91 (2015).
Knot polynomials and polynomials with integer coefficients. (Chinese. English summary) Zbl 1349.57003
MSC:
57M25
11C08
Knot polynomials and polynomials with integer coefficients. (Chinese. English summary) Zbl 1340.57002
MSC:
57M25
57M27
Region unknotting number of 2-bridge knots. (English) Zbl 1327.57012
MSC:
57M25
57M27
On lattices over valuation rings of arbitrary rank. (English) Zbl 1310.11042
Reviewer: Kazimierz Szymiczek (Tychy)
Milnor invariants and twisted Whitney towers. (English) Zbl 1312.57007
Reviewer: Dieter Erle (Dortmund)
Homology of the moduli spaces and mapping class groups of framed, \(r\)-spin and pin surfaces. (English) Zbl 1322.55006
Reviewer: Martin Palmer (Münster)
Introductory lectures on manifold topology: signposts. (English) Zbl 1296.57003
Surveys of Modern Mathematics 7. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-287-9/pbk). ii, 128 p. (2014).
Reviewer: Thomas Schick (Göttingen)
The Arf invariants of knots. (Chinese. English summary) Zbl 1299.57006
MSC:
57M25
57M15
When is region crossing change an unknotting operation? (English) Zbl 1284.57004
Reviewer: Dieter Erle (Dortmund)
Arf equivalence. II. (English) Zbl 1264.11029
Whitney tower concordance of classical links. (English) Zbl 1257.57005
Reviewer: Lee P. Neuwirth (Princeton)
Band surgery on knots and links, II. (English) Zbl 1246.57017
Reviewer: Claus Ernst (Bowling Green)
On flat braidzel surfaces for links. (English) Zbl 1239.57021
MSC:
57M25
Six-dimensional nilpotent Lie algebras. (English) Zbl 1250.17017
Linear Algebra Appl. 436, No. 1, 163-189 (2012); corrigendum ibid. 604, 507-508 (2020).
Reviewer: Cristina Draper Fontanals (Malaga)
Cahit Arf and his invariant. (English) Zbl 1256.11001
Reviewer: Franz Lemmermeyer (Jagstzell)
The Arf-Kervaire problem in algebraic topology: sketch of the proof. (English) Zbl 1249.55005
Jerison, David (ed.) et al., Current developments in mathematics, 2010. Somerville, MA: International Press (ISBN 978-1-57146-228-2/hbk). 1-43 (2011).
Reviewer: Haruo Minami (Nara)
\(H(2)\)-Gordian distance of knots. (English) Zbl 1230.57007
Reviewer: Lorena Armas-Sanabria (Mexico)
MSC:
57M25
57M27
The Arf-Kervaire invariant problem in algebraic topology: Introduction. (English) Zbl 1223.55009
Jerison, David (ed.) et al., Current developments in mathematics, 2009. Somerville, MA: International Press (ISBN 978-1-57146-146-9/hbk). 23-58 (2010).
Reviewer: Katsumi Shimomura (Kochi)
On the Arf invariant in historical perspective. (English) Zbl 1201.01015
Reviewer: Albert C. Lewis (Austin)
\(H(2)\)-unknotting number of a knot. (English) Zbl 1212.57001
MSC:
57M25
The Gordian complex with pass moves is not homogeneous with respect to Conway polynomials. (English) Zbl 1205.57013
Reviewer: Cynthia L. Curtis (Ewing)
MSC:
57M25
A refinement of the Conway-Gordon theorems. (English) Zbl 1185.57003
Reviewer: Iain Moffatt (Mobile, AL)
Local move identities for the Alexander polynomials of high-dimensional knots and inertia groups. (English) Zbl 1200.57015
Reviewer: Pedro Lopes (Nottingham)
Stable homotopy around the Arf-Kervaire invariant. (English) Zbl 1169.55001
Progress in Mathematics 273. Basel: Birkhäuser (ISBN 978-3-7643-9903-0/hbk). xiv, 239 p. (2009).
Reviewer: Haruo Minami (Nara)
Arf invariants of real algebraic curves. (English) Zbl 1184.14089
Reviewer: Hitoshi Murakami (Tokyo)
MSC:
14P25
57M27
The Jones polynomial of twist knots. (English) Zbl 1137.57300
MSC:
57M25
Classification of homotopy Wall’s manifolds. (English) Zbl 1115.55004
Reviewer: Fulvia Spaggiari (Modena)
Generalized Arf invariants in algebraic \(L\)-theory. (English) Zbl 1213.57034
Reviewer: Krzysztof Pawałowski (Poznań)
Computing degree of maps between manifolds. (English) Zbl 1102.57014
Reviewer: Jan Jaworowski (Bloomington)
Simple Whitney towers, half-gropes and the Arf invariant of a knot. (English) Zbl 1110.57006
Reviewer: G. Burde (Frankfurt / Main)
MSC:
57M25
57N13
Invariant rings of orthogonal groups over \(\mathbb{F}_2\). (English) Zbl 1103.13007
Reviewer: Matyas Domokos (Budapest)
Noncommutative knot theory. (English) Zbl 1063.57011
Reviewer: Andreas Cap (Wien)
MSC:
57M27
20F14
Immersions of surfaces with boundary into the plane. (English) Zbl 1056.57018
Reviewer: Tsutomu Yasui (Kagoshima)
MSC:
57R42
57M25
Classification of homotopy real Milnor manifolds. (English) Zbl 1052.57050
Reviewer: Kohhei Yamaguchi (Tokyo)
Pencils of quadratic forms over finite fields. (English) Zbl 1049.11039
Reviewer: Andrzej Sładek (Katowice)
Classification of links up to self pass-move. (English) Zbl 1046.57009
Reviewer: Nafaa Chbili (Tokyo)
MSC:
57M25
A characterization of nonsingular pairs of quadratic forms. (English) Zbl 1043.11036
Reviewer: Tara L. Smith (Cincinnati)
The intersection of spheres in a sphere and a new geometric meaning of the ARF invariant. (English) Zbl 1027.57024
Reviewer: C.Kearton (Durham)
MSC:
57Q45
57M25
Obstructions to approximating maps of \(n\)-manifolds into \(\mathbb{R}^{2n}\) by embeddings. (English) Zbl 1003.57036
Reviewer: Donald M.Davis (Baltimore)
Dirac eigenvalue estimates on surfaces. (English) Zbl 1007.58014
Reviewer: Peter B.Gilkey (Eugene)
On some Galois invariants of branched coverings. (Sur des invariants galoisiens des revêtements ramifiés.) (French) Zbl 1005.57002
MSC:
57M12
57N05
Stabilisation, bordism and embedded spheres in \(4\)-manifolds. (English) Zbl 0992.57018
Reviewer: Terry Lawson (New Orleans)
Self \(\sharp\)-equivalence of certain links. (English) Zbl 1002.57010
Reviewer: Hitoshi Murakami (Tokyo)
MSC:
57M25
On the second trace form of central simple algebras in characteristic two. (English) Zbl 1003.11015
Reviewer: N.Schwartz (Passau)
Classification of quadratic forms over skew fields of characteristic 2. (English) Zbl 0986.11026
Reviewer: Andrzej Sładek (Katowice)
A grid of type \(p\times q\) with \(\text{gcd}\{p,q\}=6\) unknots. (English) Zbl 1001.57014
MSC:
57M25
A note on a theorem of Wu. (English) Zbl 0965.57008
MSC:
57M25
57M27
Proper links, algebraically split links and Arf invariant. (English) Zbl 0993.57003
Reviewer: Christian Blanchet (Vannes)
MSC:
57M25
57M27
Subspaces determining the Arf invariant and Rohlin’s theorem on the signature. (Sous-espaces déterminant l’invariant de Arf et un théorème de Rohlin sur la signature.) (French) Zbl 0990.11019
Reviewer: Detlev Hoffmann (Besançon)
Quantum invariants of periodic three-manifolds. (English) Zbl 0957.57009
Hass, Joel (ed.) et al., Proceedings of the Kirbyfest, Berkeley, CA, USA, June 22-26, 1998. Warwick: University of Warwick, Institute of Mathematics, Geom. Topol. Monogr. 2, 157-175 (1999).
Arf equivalence. I. (English) Zbl 0939.11019
Győry, Kálmán (ed.) et al., Number theory in progress. Proceedings of the international conference organized by the Stefan Banach International Mathematical Center in honor of the 60th birthday of Andrzej Schinzel, Zakopane, Poland, June 30-July 9, 1997. Volume 1: Diophantine problems and polynomials. Berlin: de Gruyter. 381-393 (1999).
Reviewer: H.G.Quebbemann (Oldenburg)
Invariants of generic plane curves and invariants of singularities. (English) Zbl 0895.32009
Kollár, János (ed.) et al., Algebraic geometry. Proceedings of the Summer Research Institute, Santa Cruz, CA, USA, July 9–29, 1995. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 62(pt.1), 423-433 (1997).
Reviewer: G.Pfister (Kaiserslautern)
Dirac’s algebra and Brauer-Wall groups. (English) Zbl 0895.11018
Nencka, Hanna (ed.) et al., Geometry and nature: in memory of W. K. Clifford. A conference on new trends in geometrical and topological methods, July 30–August 5, 1995, Madeira, Portugal. Providence, RI: American Mathematical Society. Contemp. Math. 203, 25-36 (1997).
Reviewer: B.Fauser (Tübingen)
On the Arf invariant of a purely proper link. (English) Zbl 0866.57003
J. Knot Theory Ramifications 5, No. 3, 417-420 (1996); erratum ibid. 5, No. 5, 741 (1996).
Reviewer: K.Murasugi (Toronto)
MSC:
57M25
On quadratic forms over the field \(\mathbb{Z}_ 2\). (English. Russian original) Zbl 0859.11028
Russ. Math. Surv. 50, No. 5, 1090-1091 (1995); translation from Usp. Mat. Nauk 50, No. 5, 243-244 (1995).
Reviewer: K.Abdukhalikov (Seoul)
Perturbative Chern-Simons theory. (English) Zbl 0861.57009
Reviewer: V.Abramov (Tartu)
Arf invariants of strongly invertible knots obtained from unknotting number one knots. (English) Zbl 0861.57014
Reviewer: Y.Mathieu (Marseille)
MSC:
57M25
Nil groups in \(K\)-theory and surgery theory. (English) Zbl 0844.57036
MSC:
57R67
57N15
Triple points of unknotting discs and the Arf invariant of knots. (English) Zbl 0851.57003
MSC:
57M25
Nonorientable 4-manifolds with fundamental group of order 2. (English) Zbl 0830.57012
Reviewer: T.Lawson (New Orleans)
MSC:
57N13
57S17
Knots that cannot be obtained from a trivial knot by twisting. (English) Zbl 0843.57008
Gordon, Cameron (ed.) et al., Geometric topology. Joint US-Israel workshop on geometric topology, June 10-16, 1992, Technion, Haifa, Israel. Providence, RI: American Mathematical Society. Contemp. Math. 164, 139-150 (1994).
Reviewer: K.Murasugi (Toronto)
MSC:
57M25
Lissajous knots. (English) Zbl 0834.57005
Reviewer: M.Sakuma (Osaka)
MSC:
57M25
A method for computing the Arf invariants of links. (English) Zbl 0839.57005
Kauffman, Louis H. (ed.) et al., Quantum topology. Based on an AMS special session on topological quantum field theory, held in Dayton, OH, USA on October 30-November 1, 1992 at the general meeting of the American Mathematical Society. Singapore: World Scientific. Ser. Knots Everything. 3, 174-181 (1993).
MSC:
57M25
On the unoriented Sato-Levine invariant. (English) Zbl 0809.57001
Reviewer: K.Murasugi (Toronto)
MSC:
57M25
Link cobordism in rational homology 3-spheres. (English) Zbl 0797.57003
Reviewer: J.A.Hillman (Sydney)
MSC:
57M25
Witt’s extension theorem for mod four valued quadratic forms. (English) Zbl 0766.15033
Reviewer: E.Ellers (Toronto)
Borromeanism and bordism. (English) Zbl 0789.76101
Moffatt, H. K. (ed.) et al., Topological aspects of the dynamics of fluids and plasmas. Proceedings of the program of the Institute for Theoretical Physics, University of California at Santa Barbara, USA and of the NATO advanced research workshop on topological aspects of the dynamics of fluids and plasmas, University of California at Santa Barbara, USA, November 1-5, 1991. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. E, Appl. Sci. 218, 249-264 (1992).
MSC:
76W05
57N12
On slice knots in the complex projective plane. (English) Zbl 0780.57015
Reviewer: C.Kearton (Durham)
A \(Pin^ -\)-cobordism invariant and a generalization of the Rokhlin signature congruence. (English. Russian original) Zbl 0729.57015
Leningr. Math. J. 2, No. 4, 917-924 (1991); translation from Algebra Anal. 2, No. 4, 242-250 (1990).
Diskriminantenalgebren quadratischer Formen. (Discriminant algebras of quadratic forms). (German) Zbl 0707.11028
Reviewer: U.Haag
The Arf and Sato link concordance invariants. (English) Zbl 0718.57002
Reviewer: K.Murasugi (Toronto)
MSC:
57M25
Stability of the homology of the moduli spaces of Riemann surfaces with spin structure. (English) Zbl 0715.57004
Reviewer: B.Zimmermann
An invariant with respect to the Pin-cobordism and a generalization of Rokhlin’s signature congruence. (Russian) Zbl 0714.57023
Reviewer: V.Oproiu
Topological classification of branched coverings of the two-dimensional sphere. (English. Russian original) Zbl 0707.57002
J. Sov. Math. 52, No. 1, 2832-2846 (1990); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 167, 135-156 (1988).
MSC:
57M12
57N05
Stable splittings associated with Chevalley groups. II. (English) Zbl 0696.55023
Reviewer: D.McCullough
Stable splittings associated with Chevalley groups. I. (English) Zbl 0696.55022
Reviewer: D.McCullough
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