Found 84 Documents (Results 1–84)
On the James brace product: Generalization, relation to \(H\)-splitting of loop space fibrations & the \(J\)-homomorphism. arXiv:2401.16206
Preprint, arXiv:2401.16206 [math.AT] (2024).
Loop homotopy of 6-manifolds over 4-manifolds. (English) Zbl 1525.55007
Reviewer: Xueqi Wang (Beijing)
Factorization problems on rational loop groups, and the Poisson geometry of Yang-Baxter maps. (English) Zbl 1493.16039
Little discs operads, graph complexes and Grothendieck-Teichmüller groups. (English) Zbl 1476.55030
Miller, Haynes (ed.), Handbook of homotopy theory. Boca Raton, FL: CRC Press. CRC Press/Chapman Hall Handb. Math. Ser., 405-441 (2020).
The rational homology ring of the based loop space of the gauge groups and the spaces of connections on a four-manifold. (English. Russian original) Zbl 1452.55014
J. Math. Sci., New York 248, No. 6, 803-809 (2020); translation from Fundam. Prikl. Mat. 21, No. 6, 205-215 (2016).
Reviewer: Tseleung So (Regina)
On the topology of the space of Ricci-positive metrics. (English) Zbl 1444.53030
Reviewer: Nicolai K. Smolentsev (Kemerovo)
Rational Pontrjagin homology ring of the based loop space on some homogeneous spaces. (English) Zbl 1438.57011
Book review of: B. Fresse, Homotopy of operads and Grothendieck-Teichmüller groups. Part 2: The applications of (rational) homotopy theory methods. (English) Zbl 1390.00030
Book review of: B. Fresse, Homotopy of operads and Grothendieck-Teichmüller groups. Part 1: The algebraic theory and its topological background. (English) Zbl 1390.00029
Homotopy of operads and Grothendieck-Teichmüller groups. Part 2: The applications of (rational) homotopy theory methods. (English) Zbl 1375.55007
Mathematical Surveys and Monographs 217, 2. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3482-3/hbk; 978-1-4704-3757-2/ebook). xxxv, 704 p. (2017).
Reviewer: Steffen Sagave (Nijmegen)
Homotopy of operads and Grothendieck-Teichmüller groups. Part 1: The algebraic theory and its topological background. (English) Zbl 1373.55014
Mathematical Surveys and Monographs 217, 1. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3481-6/hbk; 978-1-4704-3755-8/ebook). xlvi, 532 p. (2017).
Reviewer: Steffen Sagave (Nijmegen)
Homotopy groups and periodic geodesics of closed 4-manifolds. (English) Zbl 1331.53064
Reviewer: Corina Mohorianu (Iaşi)
Generating rational loop groups with noncompact reality conditions. (English) Zbl 1282.22014
Reviewer: Dongwen Liu (Storrs)
MSC:
22E67
Brackets in the free loop space homology of some homogeneous spaces. (English) Zbl 1282.55014
Reviewer: Jean Claude Thomas (Angers)
The ranks of the homotopy groups of a finite dimensional complex. (English) Zbl 1261.55003
Reviewer: Samuel Smith (Philadelphia)
The integral homology ring of the based loop space on some generalised symmetric spaces. (English) Zbl 1290.55002
Reviewer: Oliver Goertsches (Hamburg)
Stable homology of automorphism groups of free groups. (English) Zbl 1268.20057
Reviewer: Ulrike Tillmann (Oxford)
Modern classical homotopy theory. (English) Zbl 1231.55001
Graduate Studies in Mathematics 127. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5286-6/hbk). xxi, 835 p. (2011).
Reviewer: Hirokazu Nishimura (Tsukuba)
Generators for rational loop groups. (English) Zbl 1226.22025
Reviewer: Walter Freyn (Augsburg)
Singular dressing actions on harmonic maps. (English) Zbl 1211.58007
Reviewer: Vladimir Balan (Bucureşti)
Spaces of algebraic maps from real projective spaces into complex projective spaces. (English) Zbl 1209.55005
Félix, Yves (ed.) et al., Homotopy theory of function spaces and related topics. Proceedings of the Oberwolfach workshop, Mathematisches Forschungsinstitut Oberwolfach, Germany, April 5–11, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4929-3/pbk). Contemporary Mathematics 519, 145-164 (2010).
Reviewer: Simona Settepanella (Pisa)
The homotopy theory of function spaces: A survey. (English) Zbl 1208.55006
Félix, Yves (ed.) et al., Homotopy theory of function spaces and related topics. Proceedings of the Oberwolfach workshop, Mathematisches Forschungsinstitut Oberwolfach, Germany, April 5–11, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4929-3/pbk). Contemporary Mathematics 519, 3-39 (2010).
The integral Pontrjagin homology of the based loop space on a flag manifold. (English) Zbl 1218.57015
Reviewer: Frank Neumann (Leicester)
On the structure of the fusion ideal. (English) Zbl 1204.22017
Reviewer: Nicolae Cotfas (Bucureşti)
Homotopy theory of function spaces and related topics. Abstracts from the workshop held April 5th – April 11th, 2009. (English) Zbl 1177.55002
Exponential growth of Lie algebras of finite global dimension. (English) Zbl 1111.55008
Reviewer: Rainer Vogt (Osnabrück)
An asymptotic formula for the ranks of homotopy groups. (English) Zbl 1105.55009
Reviewer: Rainer Vogt (Osnabrück)
Some title containing the words “homotopy” and “symplectic”, e.g. this one. (English) Zbl 1102.58010
Molitor-Braun, Carine (ed.) et al., Proceedings of the 4th conference on Poisson geometry, Luxembourg, June 7–11, 2004. Luxembourg: Université du Luxembourg (ISBN 2-87971-253-X/pbk). Travaux Mathématiques 16, 121-137 (2005).
Reviewer: Corina Mohorianu (Iaşi)
Cherednik algebras and Yangians. (English) Zbl 1096.20006
Reviewer: Hu Jun (Beijing)
Rational solutions of the CYBE and locally transitive actions on isotropic Grassmannians. (English) Zbl 1147.17308
Hopf algebras up to homotopy and the Bockstein spectral sequence. (English) Zbl 1071.16039
Reviewer: Saïd Zarati (Tunis)
A torsion-free Milnor-Moore theorem. (English) Zbl 1049.55005
Reviewer: Yves Félix (Louvain-La-Neuve)
Decompositions of certain loop spaces. (English) Zbl 1034.55002
Reviewer: Daniel H. Gottlieb (Lafayette)
Group actions on spaces of rational functions. (English) Zbl 1026.55011
Reviewer: Gregory Lupton (Cleveland)
Kac-Moody groups, their flag varieties and representation theory. (English) Zbl 1026.17030
Progress in Mathematics (Boston, Mass.). 204. Boston, MA: Birkhäuser. xvi, 606 p. (2002).
Reviewer: Dan Laksov (Stockholm)
On the cohomology algebra of a fiber. (English) Zbl 0981.55006
Reviewer: Marcela Popescu (Craiova)
Characteristic zero loop space homology of two-cones. (English) Zbl 1023.55005
Reviewer: Călin Popescu (Louvain-la-Neuve)
On the homotopy classification of spaces with a fixed Pontryagin algebra. (English) Zbl 0920.55008
Reviewer: K.Yamaguchi (Tokyo)
Alternative loop rings. (English) Zbl 0878.17029
North-Holland Mathematics Studies. 184. Amsterdam: North-Holland. xv, 387 p. (1996).
Reviewer: Huberta Lausch (Würzburg)
Loop space homology – problems and questions. (Homologie de l’espace des lacets, problèmes et questions.) (French) Zbl 0790.55009
Reviewer: Y.Felix (Louvain-La-Neuve)
Interpolation theory, loop groups and instantons. (English) Zbl 0783.58009
Reviewer: G.Valli (Roma)
Lagrange-Schwarzian derivative and symplectic Sturm theory. (English) Zbl 0780.34004
Reviewer: S.Staněk (Olomouc)
Isomorphic group (and loop) algebras. (English) Zbl 0773.20031
Reviewer: E.Brožíková (Praha)
Growth of rational Betti numbers of the free loop space of a biformal space. (Croissance des nombres de Betti rationnels de l’espace des lacets libres d’un espace biformel.) (French) Zbl 0836.55004
Reviewer: Sommaire
The modulo 2 homology groups of the space of rational functions. (English) Zbl 0757.55009
Reviewer: V.L.Hansen (Lyngby)
Effective algebraic topology. (English) Zbl 0731.55015
Mem. Am. Math. Soc. 451, 63 p. (1991).
Reviewer: I.Pop (Iaşi)
On rational solutions of Yang-Baxter equations. Maximal orders in loop algebra. (English) Zbl 0736.17006
Reviewer: A.Stolin (Stockholm)
Sheaves on a loop group and Langlands duality. (English. Russian original) Zbl 0736.22009
Funct. Anal. Appl. 24, No. 4, 326-327 (1990); translation from Funkts. Anal. Prilozh. 24, No. 4, 76-77 (1990).
Reviewer: J.Hilgert (Erlangen)
Differential forms in algebraic topology. Transl. from the English by I. V. Savel’ev and G. S. Shmelev. Transl. ed. by A. A. Kirillov. (Дифференциальные формы в алгебраической топологии.) (Russian) Zbl 0675.55002
Moskva: Nauka. 336 p. R. 3.20 (1989).
MSC:
55-02
58-02
58A12
57R20
55N05
55N10
55R05
55R10
55R15
55R20
55R25
55R40
55T05
55T10
55P62
55P20
55Q05
55Q25
55Q40
57R19
57R25
58A05
58A10
Rational Hermitian K-theory and dihedral homology. (English. Russian original) Zbl 0676.55009
Math. USSR, Izv. 33, No. 2, 261-293 (1989); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 52, No. 5, 935-969 (1988).
The operator algebra of orbifold models. (English) Zbl 0674.46051
Reviewer: N.D.Sengupta
Mod \(p\) loop space homology. (English) Zbl 0667.55007
Reviewer: J.Oprea
Structure of the \(A(\infty)\)-algebra and the Hochschild and Harrison cohomologies. (Russian. English summary) Zbl 0717.55011
Tr. Tbilis. Mat. Inst. Razmadze 91, 19-27 (1988).
Reviewer: Marek Golasiński (Olsztyn)
Spherical homology classes in the bordism of Lie groups. (English) Zbl 0687.55002
Reviewer: J.R.Hubbuck
Rational types of certain groups of homeomorphisms. (English. Russian original) Zbl 0661.55008
Mosc. Univ. Math. Bull. 43, No. 3, 59-61 (1988); translation from Vestn. Mosk. Univ., Ser. I 1988, No. 3, 62-64 (1988).
Rational Hermitian K-theory and dihedral homologies. (Russian) Zbl 0661.55004
Reviewer: Ioan Pop (Iaşi)
Exploration de l’homotopie modérée de W. G. Dwyer. I. (Exploring W. G. Dwyer’s tame homotopy theory. I). (French) Zbl 0658.55005
Reviewer: J.Oprea
Rational type of some homeomorphism groups. (Russian) Zbl 0649.55002
Reviewer: S.Papadima
The rational cohomology of finite loop spaces. (English) Zbl 0645.57024
Reviewer: J.Hubbuck
Sur l’algèbre de cohomologie cyclique d’un espace 1-connex. Applications à la géométrie des variétés. (On the algebra of cyclic cohomology of a 1-connected space. Applications to the geometry of manifolds). (French) Zbl 0618.55006
Iterated integrals and homotopy periods. (Iterirovannye integraly i problema gomotopicheskikh periodov). Transl. from the English by A. V. Pazhitnov and A. V. Khokhlov. Transl. ed. by A. S. Mishchenko. (Iterirovannye integraly i problema gomotopicheskikh periodov.) (Russian) Zbl 0642.55001
Moskva: Nauka. 95 p. R. 1.00 (1988).
Elliptic genera and quantum field theory. (English) Zbl 0625.57008
Reviewer: P.Landweber
Loop spaces of finite complexes at large primes. (English) Zbl 0594.55006
Reviewer: J.R.Hubbuck
A rational homotopy analog of Whitehead’s problem. (English) Zbl 0591.55005
Algebra, algebraic topology and their interactions, Proc. Conf., Stockholm 1983, Lect. Notes Math. 1183, 28-31 (1986).
Reviewer: J.C.Thomas
Rational homotopy theory of flag varieties associated to Kac-Moody groups. (English) Zbl 0612.22009
Infinite dimensional groups with applications, Publ., Math. Sci. Res. Inst. 4, 233-273 (1985).
Reviewer: Jiří Vanžura (Brno)
Iterated integrals and homotopy periods. (English) Zbl 0539.55002
Mem. Am. Math. Soc. 291, 98 p. (1984).
Reviewer: H.Scheerer
The smallest \(\Omega\)-irrational CW-complex. (English) Zbl 0582.55009
Reviewer: S.Thomeier
A model for computing rational algebraic K-theory of simply connected spaces. (English) Zbl 0505.57011
Differential forms in algebraic topology. (English) Zbl 0496.55001
Graduate Texts in Mathematics, 82. New York - Heidelberg - Berlin: Springer-Verlag. XIV, 331 p., 92 figs. DM 74.00; $ 32.20 (1982).
MSC:
55-02
58-02
58A12
57R20
55N05
55N10
55R05
55R10
55R15
55R20
55R25
55R40
55T05
55T10
55P62
55P20
55Q05
55Q25
55Q40
57R19
57R25
58A05
58A10
Commutator calculus and groups of homotopy classes. (English) Zbl 0473.55001
London Mathematical Society Lecture Note Series, 50. Cambridge etc.: Cambridge University Press. IV, 160 p. £10.00 (1981).
MSC:
55-02
55Q05
55P62
55Q25
20F12
55P15
55P35
55P40
55P60
55P65
55Q15
55Q20
55Q35
55Q40
20F18
17B30
Pseudo-isotopy and invariant theory. II: Rational algebraic K-theory of a space with finite fundamental group. (English) Zbl 0468.57019
Topology, Proc. Symp., Siegen 1979, Lect. Notes Math. 788, 418-441 (1980).
Relations between the Poincaré-Betti series of loop spaces and of local rings. (English) Zbl 0415.13012
Semin. d’algebre Paul Dubreil, Proc., Paris 1977/78, 31eme Annee, Lect. Notes Math. 740, 285-322 (1979).
Algebraic K-theory of topological spaces. I. (English) Zbl 0414.18010
Algebr. geom. Topol., Stanford/Calif. 1976, Proc. Symp. Pure Math., Vol. 22, Part 1, 35-60 (1978).
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