Found 69 Documents (Results 1–69)
Cartan calculi on the free loop spaces. (English) Zbl 07873740
Reviewer: Jean-Claude Thomas (Angers)
Moduli spaces of Riemann surfaces as Hurwitz spaces. (English) Zbl 1536.55011
Reviewer: Florian Kranhold (Karlsruhe)
On the topology of the space of Ricci-positive metrics. (English) Zbl 1444.53030
Reviewer: Nicolai K. Smolentsev (Kemerovo)
On the rational homotopy type of embedding spaces of manifolds in \(R^n\). arXiv:2008.08146
Preprint, arXiv:2008.08146 [math.AT] (2020).
On rational Pontryagin homology ring of the based loop space on a four-manifold. (English) Zbl 1474.55004
Rational Pontrjagin homology ring of the based loop space on some homogeneous spaces. (English) Zbl 1438.57011
Hochschild cohomology of a Sullivan algebra. (English) Zbl 1360.55011
Reviewer: Takashi Maruyama (Kasugai)
Free loop spaces in geometry and topology. Including the monograph Symplectic cohomology and Viterbo’s theorem by Mohammed Abouzaid. (English) Zbl 1326.55003
IRMA Lectures in Mathematics and Theoretical Physics 24. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-153-8/hbk; 978-3-03719-653-3/ebook). 494 p. (2015).
Homotopy groups and periodic geodesics of closed 4-manifolds. (English) Zbl 1331.53064
Reviewer: Corina Mohorianu (Iaşi)
Rational cohomology of the free loop space of a simply connected 4-manifold. (English) Zbl 1266.55008
Reviewer: Yves Félix (Louvain-La-Neuve)
Invariants of knots and 3-manifolds derived from the equivariant linking pairing. (English) Zbl 1246.57024
Andersen, Jørgen E. (ed.) et al., Chern-Simons gauge theory: 20 years after. Based on the workshop, Bonn, Germany, August 3–7, 2009. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 978-0-8218-5353-5/pbk). AMS/IP Studies in Advanced Mathematics 50, 217-242 (2011).
Reviewer: Hitoshi Murakami (Tokyo)
Stable homology of automorphism groups of free groups. (English) Zbl 1268.20057
Reviewer: Ulrike Tillmann (Oxford)
Rational homotopy groups of function spaces. (English) Zbl 1216.55003
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, 105-114 (2010).
Reviewer: Jarek Kedra (Aberdeen)
On the Hochschild and Harrison (co)homology of \(C_\infty\)-algebras and applications to string topology. (English) Zbl 1227.16010
Abbaspour, Hossein (ed.) et al., Deformation spaces. Perspectives on algebro-geometric moduli. Including papers from the workshops held at the Max-Planck-Institut für Mathematik, Bonn, Germany, July 2007 and August 2008. Wiesbaden: Vieweg+Teubner (ISBN 978-3-8348-1271-1/hbk; 978-3-8348-9680-3/ebook). Aspects of Mathematics E40, 1-51 (2010).
Reviewer: Saïd Zarati (Tunis)
Batalin-Vilkovisky algebra structures on Hochschild cohomology. (English) Zbl 1180.16007
Reviewer: Saïd Zarati (Tunis)
String topology for spheres. (English) Zbl 1159.55004
Reviewer: Yves Félix (Louvain-La-Neuve)
Rational BV-algebra in string topology. (English) Zbl 1160.55006
Reviewer: Kohhei Yamaguchi (Tokyo)
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)
On the cohomology algebra of a fiber. (English) Zbl 0981.55006
Reviewer: Marcela Popescu (Craiova)
The cohomology ring of free loop spaces. (English) Zbl 0974.55005
Reviewer: Bjørn Dundas (Trondheim)
On the Betti numbers of the free loop space of a coformal space. (English) Zbl 0981.55004
Reviewer: Corina Mohorianu (Iaşi)
Finiteness conditions for Hochschild homology algebra and free loop space cohomology algebra. (English) Zbl 0983.55006
Reviewer: Ayelet Lindenstrauss (Bloomington)
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)
Relative \(K\)-theory and topological cyclic homology. (English) Zbl 0913.19002
Reviewer: U.Tillmann (Oxford)
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)
Loop space homology of spaces of small category. (English) Zbl 0784.55002
Reviewer: H.M.Unsöld (Berlin)
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)
The homology of a free loop space. (English) Zbl 0666.55011
Reviewer: S.Halperin
Rational homotopic type of Hermitian K-theory. (English. Russian original) Zbl 0717.55006
Mosc. Univ. Math. Bull. 45, No. 5, 62-64 (1990); translation from Vestn. Mosk. Univ., Ser. I 1990, No. 5, 77-80 (1990).
Reviewer: S.Papadima
Cohomologie de Hochschild et k-formalité intrinsèque. (Hochschild cohomology and intrinsic k-formality). (French) Zbl 0714.55007
Reviewer: Y.Felix
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
Hopf algebras up to homotopy. (English) Zbl 0681.55006
Reviewer: Y.Felix
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).
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).
Cyclic homology and algebraic K-theory of spaces. II. (English) Zbl 0639.55003
Reviewer: R.Schwänzl
Cyclic homology and the algebraic K-theory of spaces. I. (English) Zbl 0615.55009
Applications of algebraic K-theory to algebraic geometry and number theory, Proc. AMS-IMS-SIAM Joint Summer Res. Conf., Boulder/Colo. 1983, Part I, Contemp. Math. 55, 89-115 (1986).
Reviewer: R.Schwänzl
Sur l’opération d’holonomie rationnelle. (French) Zbl 0594.55011
Algebra, algebraic topology and their interactions, Proc. Conf., Stockholm 1983, Lect. Notes Math. 1183, 136-169 (1986).
Reviewer: St.Papadima
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
A model for cyclic homology and algebraic K-theory of 1-connected topological spaces. (English) Zbl 0595.55009
Reviewer: St.Papadima
Diophantine equations, Hilbert series, and undecidable spaces. (English) Zbl 0584.13012
Reviewer: R.Fröberg
Commutative rings, algebraic topology, graded Lie algebras and the work of Jan-Erik Roos. (English) Zbl 0574.18008
Reviewer: R.Fröberg
Loop spaces and differential forms. (English) Zbl 0546.55012
Homotopie algébrique et algèbre locale, Journ. Luminy/France 1982, Astérisque 113-114, 87-95 (1984).
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
Local algebra and rational homotopy. (English) Zbl 0552.13004
Rep., Dep. Math., Univ. Stockh. 3, 1-31 (1983).
Reviewer: Luchezar L. Avramov
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
Cohomologie des algèbres de Lie graduees et séries de Poincaré-Betti non rationnelles. (French) Zbl 0449.13011
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).
Lectures on the Eilenberg-Moore spectral sequence. (English) Zbl 0197.19702
Lecture Notes in Mathematics. 134. Berlin-Heidelberg-New York: Springer-Verlag. vi, 142 p. (1970).
Reviewer: Robert E. Stong (Charlottesville)
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