An Alpine expedition through algebraic topology : fourth Arolla Conference Algebraic Topology August 20-25, 2012 Arolla, Switzerland / / Christian Ausoni [and four others], editors

• Record Nr.: UNINA9910480252803321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , 2014; ©2014
• ISBN: 1-4704-1685-9
• Descrizione fisica: 1 online resource (296 p.)
• Collana: Contemporary Mathematics, , 1098-3627 ; ; 617
• Disciplina: 514/.2
• Soggetti: Homotopy theory; Algebraic topology; Electronic books.; Bern (Switzerland)
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references at the end of each chapters.
• Nota di contenuto: ""Preface""; ""List of Conference Talks""; ""Some properties of the Thom spectrum over loop suspension of complex projective space""; ""Introduction""; ""1. The Thom spectrum of ""; ""2. -(co)homology""; ""3. A formal group law over _{*}""; ""4. The splitting of into wedges of suspensions of ""; ""5. The real and the quaternionic cases""; ""6. Associative versus commutative orientations""; ""Acknowledgements""; ""References""; ""Rational equivariant rigidity""; ""Introduction""; ""1. Stable model categories and generators""; ""2. Morita theory for stable model categories""; ""3. Rational G-spectra and their endomorphism category""""4. Rigidity for Finite and Profinite groups""; ""5. S1-equivariant rigidity""; ""6. Formality and Rigidity""; ""Acknowledgements""; ""References""; ""Homotopy colimits of model categories""; ""1. Introduction""; ""2. Preliminaries on complete Segal spaces""; ""3. Working example: Homotopy pushouts""; ""4. More general homotopy colimits""; ""References""; ""The cobordism category and Waldhausenâ€?s -theory""; ""0. Introduction""; ""1. Abstract transversality""; ""2. Categories of embedded manifolds""; ""3. Simplicial spaces""; ""4. The Madsen-Weiss theorem as a relative h-principle""""Acknowledgement""; ""References""; ""Absolutely homotopy-cartesian squares""; ""1. Statements of Results and Conjectures""; ""2. Proof of Classification for Squares""; ""3. Partial results for Conjecture 1.3""; ""4. An Absolutely Cocartesian and Cartesian 3-cube""; ""5. Applications and Related Work""; ""References""; ""Koszul duality complexes for the cohomology of iterated loop spaces of spheres""; ""Introduction""; ""Background and general conventions""; ""1. Koszul duality and operadic homology""; ""2. Free complete algebras and duality""