Found 212 Documents (Results 1–100)
Knot concordance invariants from Seiberg-Witten theory and slice genus bounds in \(4\)-manifolds. (English) Zbl 07905788
On the values taken by slice torus invariants. (English) Zbl 1533.57003
Reviewer: Jessica Banks (Liverpool)
On the slice genus of generalized algebraic knots. (English) Zbl 1533.57008
Reviewer: Khaled Qazaqzeh (Irbid)
Corks, involutions, and Heegaard Floer homology. (English) Zbl 1529.57020
Reviewer: David Auckly (New York)
On the symmetry of composite ribbon knots. (English) Zbl 1514.57014
Reviewer: Bo-hyun Kwon (Seoul)
Homomorphism obstructions for satellite maps. (English) Zbl 1518.57010
Reviewer: Toshio Saito (Joetsu)
The smooth 4-genus of (the rest of) the prime knots through 12 crossings. (English) Zbl 1505.57005
Reviewer: Kenneth A. Perko Jr. (Scarsdale)
Milnor’s concordance invariants for knots on surfaces. (English) Zbl 1511.57003
Reviewer: Hailiang Hu (Dalian)
Concordance invariants and the Turaev genus. (English) Zbl 1505.57008
Reviewer: Nafaa Chbili (Abu Dhabi)
MSC:
57K10
Ribbon homology cobordisms. (English) Zbl 1514.57039
Reviewer: Carlo Collari (Abu Dhabi)
One-bipolar topologically slice knots and primary decomposition. (English) Zbl 1519.57010
Reviewer: Lorena Armas-Sanabria (Ciudad de México)
Relating cut and paste invariants and TQFTs. (English) Zbl 1533.57070
Reviewer: V. Hosana Ranaivomanana (Antananarivo)
On 3-manifolds that are boundaries of exotic 4-manifolds. (English) Zbl 1497.57030
Reviewer: Ahmet Beyaz (Ankara)
Non-slice 3-stranded pretzel knots. (English) Zbl 1500.57006
Reviewer: Alexandra Kjuchukova (Notre Dame)
Exotic Mazur manifolds and knot trace invariants. (English) Zbl 1482.57019
Reviewer: Arunima Ray (Waltham)
The bipolar filtration of topologically slice knots. (English) Zbl 1477.57002
Reviewer: Allison N. Miller (Swarthmore)
On the Kronheimer-Mrowka concordance invariant. (English) Zbl 1477.57014
Reviewer: Dirk Schütz (Durham)
Right exact group completion as a transfinite invariant of homology equivalence. (English) Zbl 1512.57034
Primary decomposition of knot concordance and von Neumann rho-invariants. (English) Zbl 1469.57009
Reviewer: Allison N. Miller (Swarthmore)
Shake slice and shake concordant links. (English) Zbl 1469.57002
Reviewer: Jun Wang (Beijing)
MSC:
57K10
Corrigendum to: “A flexible construction of equivariant Floer homology and applications”. (English) Zbl 1453.53081
Homology cobordism group of homology cylinders and invariants related to lower central series. arXiv:2012.13165
Preprint, arXiv:2012.13165 [math.GT] (2020).
A note on Jones polynomial and cosmetic surgery. (English) Zbl 1436.57005
Reviewer: Dieter Erle (Dortmund)
On sums of torus knots concordant to alternating knots. (English) Zbl 1425.57003
Reviewer: James Hebda (St. Louis)
MSC:
57M25
57M27
Winding number \(m\) and \(-m\) patterns acting on concordance. (English) Zbl 1425.57008
Reviewer: James Hebda (St. Louis)
MSC:
57M25
57M27
An infinite-rank summand of knots with trivial Alexander polynomial. (English) Zbl 1411.57027
Reviewer: Kenneth A. Perko Jr. (New York)
MSC:
57M27
Satellites and concordance of knots in 3–manifolds. (English) Zbl 1421.57018
Reviewer: Anthony Conway (Genève)
MSC:
57M27
57N70
Independence of iterated Whitehead doubles. (English) Zbl 1406.57007
Reviewer: Kenneth A. Perko Jr. (New York)
Symmetric chain complexes, twisted Blanchfield pairings and knot concordance. (English) Zbl 1406.57005
Reviewer: Anthony Conway (Genève)
A note on genera of band sums that are fibered. (English) Zbl 1402.57011
MSC:
57M25
57M27
Secondary Upsilon invariants of knots. (English) Zbl 1402.57016
MSC:
57M27
Additional gradings on generalizations of Khovanov homology and invariants of embedded surfaces. (English) Zbl 1400.57009
Reviewer: Inasa Nakamura (Kanazawa)
A note on knot concordance. (English) Zbl 1398.57027
Reviewer: Kenneth A. Perko Jr. (New York)
MSC:
57M27
57Q60
Signature functions of knots. (English) Zbl 1404.57027
Reviewer: Dieter Erle (Dortmund)
A full-twist inequality for the \(\nu^{+}\)-invariant. (English) Zbl 1406.57008
Reviewer: Christopher Davis (Eau Claire)
MSC:
57M25
57M27
Handle decompositions of rational homology balls and Casson-Gordon invariants. (English) Zbl 1400.57022
Reviewer: Gwenael Massuyeau (Dijon)
The \(\Upsilon\) function of \(L\)-space knots is a Legendre transform. (English) Zbl 1411.57022
MSC:
57M27
The concordance invariant tau in link grid homology. (English) Zbl 1422.57014
MSC:
57M25
57M27
Knot traces and concordance. (English) Zbl 1393.57010
Reviewer: Lee P. Neuwirth (Princeton)
On concordances in 3-manifolds. (English) Zbl 1403.57009
Reviewer: Benjamin Audoux (Marseille)
Topologically slice knots that are not smoothly slice in any definite 4-manifold. (English) Zbl 1386.57013
MSC:
57M25
57M27
Rational Whitney tower filtration of links. (English) Zbl 1404.57040
Reviewer: Anthony Conway (Genève)
Signature and concordance of positive knots. (English) Zbl 1385.57005
Reviewer: Lee P. Neuwirth (Princeton)
On independence of iterated Whitehead doubles in the knot concordance group. (English) Zbl 1395.53093
Reviewer: Christopher Davis (Eau Claire)
Virtual covers of links II. (English) Zbl 1403.57004
Flapan, Erica (ed.) et al., Knots, links, spatial graphs, and algebraic invariants. AMS special session on algebraic and combinatorial structures in knot theory and AMS special session on spatial graphs, both held at the California State University, Fullerton, CA, USA, October 24–25, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2847-1/pbk; 978-1-4704-4077-0/ebook). Contemporary Mathematics 689, 65-80 (2017).
MSC:
57M25
57M27
Twisted Blanchfield pairings and decompositions of 3-manifolds. (English) Zbl 1401.57012
Reviewer: Michael Heusener (Clermont-Ferrand)
Knots having the same Seifert form and primary decomposition of knot concordance. (English) Zbl 1380.57005
Reviewer: Lee P. Neuwirth (Princeton)
Concordance group of virtual knots. (English) Zbl 1397.57007
MSC:
57M25
57M27
The topological sliceness of 3-strand pretzel knots. (English) Zbl 1376.57010
Reviewer: Kenneth A. Perko Jr. (New York)
MSC:
57M25
57N70
Band-passes and long virtual knot concordance. (English) Zbl 1373.57008
MSC:
57M25
57M27
Splitting numbers of links. (English) Zbl 1377.57014
Reviewer: Kenneth A. Perko Jr. (New York)
Concordance homomorphisms from knot Floer homology. (English) Zbl 1383.57020
Reviewer: Christopher Davis (Eau Claire)
MSC:
57M27
57R58
Distinguishing mutant pretzel knots in concordance. (English) Zbl 1369.57012
Reviewer: Kenneth A. Perko Jr. (New York)
MSC:
57M25
57M27
Stable maps and branched shadows of 3-manifolds. (English) Zbl 1369.57033
Reviewer: James Hebda (St. Louis)
Cochran’s \(\beta^i\)-invariants via twisted Whitney towers. (English) Zbl 1387.57006
Reviewer: Scott A. Taylor (Waterville)
MSC:
57M25
57M27
The four-genus of a link, Levine-Tristram signatures and satellites. (English) Zbl 1361.57015
Reviewer: Anthony Conway (Genève)
Splittings of link concordance groups. (English) Zbl 1362.57022
Reviewer: Kenneth A. Perko Jr. (New York)
MSC:
57M27
57M25
A new family of links topologically, but not smoothly, concordant to the Hopf link. (English) Zbl 1362.57016
Reviewer: Kenneth A. Perko Jr. (New York)
MSC:
57M27
Surface-knots in 4-space. An introduction. (English) Zbl 1362.57001
Springer Monographs in Mathematics. Singapore: Springer (ISBN 978-981-10-4090-0/hbk; 978-981-10-4091-7/ebook). xi, 212 p. (2017).
Reviewer: Inasa Nakamura (Tokyo)
Concordance invariance of Levine-Tristram signatures of links. (English) Zbl 1370.57005
Reviewer: Claus Ernst (Bowling Green)
A flexible construction of equivariant Floer homology and applications. (English) Zbl 1371.53088
J. Topol. 9, No. 4, 1153-1236 (2016); corrigendum ibid. 13, No. 3, 1317-1331 (2020).
Optimal cobordisms between torus knots. (English) Zbl 1373.57009
Reviewer: Marco Golla (Uppsala)
Twisted Blanchfield pairings and symmetric chain complexes. (English) Zbl 1365.57009
Reviewer: Lee P. Neuwirth (Princeton)
Nonsurjective satellite operators and piecewise-linear concordance. (English) Zbl 1369.57015
Reviewer: Mark Powell (Montréal)
Concordance maps in knot Floer homology. (English) Zbl 1364.57013
Reviewer: James Conway (Berkeley)
MSC:
57M27
57R58
Concordance of certain 3-braids and Gauss diagrams. (English) Zbl 1366.57002
Reviewer: Arunima Ray (Waltham)
MSC:
57M25
57M27
Lagrangian cobordism: rigidity and flexibility aspects. (English) Zbl 1351.53096
de la Peña, José A. (ed.) et al., Mathematical congress of the Americas. First mathematical congress of the Americas, Guanajuato, México, August 5–9, 2013. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2310-0/pbk; 978-1-4704-2867-9/ebook). Contemporary Mathematics 656, 41-63 (2016).
Reviewer: Akira Asada (Takarazuka)
A cabling formula for the \(\nu^+\) invariant. (English) Zbl 1350.57015
Reviewer: Dieter Erle (Dortmund)
Invariants and structures of the homology cobordism group of homology cylinders. (English) Zbl 1352.57024
Reviewer: Gwenael Massuyeau (Strasbourg)
Counterexamples to Kauffman’s conjectures on slice knots. (English) Zbl 1369.57006
Reviewer: Kenneth A. Perko Jr. (New York)
Black magic session of concordance: Regge mass spectrum from Casson’s invariant. (English) Zbl 1337.83067
An estimate of the Rasmussen invariant for links and the determination for certain links. (English) Zbl 1330.57008
Reviewer: Keiji Tagami (Tokyo)
The reduced knot Floer complex. (English) Zbl 1326.57020
Reviewer: Marco Golla (Djursholm)
Application of braiding sequences. III: Concordance of positive knots. (English) Zbl 1335.57014
Reviewer: Claus Ernst (Bowling Green)
Distinguishing topologically and smoothly doubly slice knots. (English) Zbl 1320.57027
Reviewer: Fyodor Gainullin (London)
Whitney towers, gropes and Casson-Gordon style invariants of links. (English) Zbl 1335.57039
Reviewer: Claus Ernst (Bowling Green)
On the slice genus and some concordance invariants of links. (English) Zbl 1317.57002
Reviewer: Keiji Tagami (Tokyo)
MSC:
57M25
57M27
On the concordance genus of topologically slice knots. (English) Zbl 1322.57011
Reviewer: Dieter Erle (Dortmund)
Polynomial splittings of Ozsváth and Szabó’s \(d\)-invariant. (English) Zbl 1419.57021
MSC:
57M27
57M25
Signatures, Heegaard Floer correction terms and quasi-alternating links. (English) Zbl 1316.57008
Reviewer: Masakazu Teragaito (Hiroshima)
Linear independence of knots arising from iterated infection without the use of Tristram-Levine signature. (English) Zbl 1328.57006
Reviewer: Kenneth A. Perko jun. (New York)
MSC:
57M25
57N70
Generalized Heegaard Floer correction terms. (English) Zbl 1333.57024
Akbulut, Selman (ed.) et al., Proceedings of the 20th Gökova geometry-topology conference, Gökova, Turkey, May 27 – June 1, 2013. Somerville, MA: International Press; Gökova: Gökova Geometry-Topology Conferences (GGT) (ISBN 978-1-57146-285-5/pbk). 76-96 (2014).
Reviewer: Andrew Bucki (Edmond)
The stable concordance genus. (English) Zbl 1331.57009
Reviewer: Mario Eudave-Muñoz (México D. F.)
MSC:
57M25
57M27
Nonsplittability of the rational homology cobordism group of 3-manifolds. (English) Zbl 1312.57015
Reviewer: David Auckly (Manhattan)
MSC:
57M27
57M25
The (\(n\))-solvable filtration of link concordance and Milnor’s invariants. (English) Zbl 1312.57010
Reviewer: James Hebda (St. Louis)
MSC:
57M25
Milnor invariants and twisted Whitney towers. (English) Zbl 1312.57007
Reviewer: Dieter Erle (Dortmund)
Positive links. (English) Zbl 1311.57008
Reviewer: Mario Eudave-Muñoz (México D. F.)
MSC:
57M25
57M27
57N10
Splittings of von Neumann rho-invariants of knots. (English) Zbl 1312.57009
Reviewer: Dieter Erle (Dortmund)
Concordance of links with identical Alexander invariants. (English) Zbl 1305.57009
Reviewer: Michael C. Tsau (St. Louis)
Links not concordant to the Hopf link. (English) Zbl 1291.57017
Reviewer: Lee P. Neuwirth (Princeton)
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