03735nam 2200601 450 991048025280332120180613001217.01-4704-1685-9(CKB)3150000000020199(EBL)3114282(SSID)ssj0001234690(PQKBManifestationID)11723331(PQKBTitleCode)TC0001234690(PQKBWorkID)11216227(PQKB)10607218(MiAaPQ)EBC3114282(PPN)197102603(EXLCZ)99315000000002019920150416h20142014 uy 0engur|n|---|||||txtccrAn Alpine expedition through algebraic topology fourth Arolla Conference Algebraic Topology August 20-25, 2012 Arolla, Switzerland /Christian Ausoni [and four others], editorsProvidence, Rhode Island :American Mathematical Society,2014.©20141 online resource (296 p.)Contemporary Mathematics,1098-3627 ;617Description based upon print version of record.0-8218-9145-6 Includes bibliographical references at the end of each chapters.""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""Contemporary mathematics (American Mathematical Society) ;617.Homotopy theoryCongressesAlgebraic topologyCongressesBern (Switzerland)Electronic books.Homotopy theoryAlgebraic topology514/.2Ausoni Christian1968-Arolla Conference on Algebraic TopologyMiAaPQMiAaPQMiAaPQBOOK9910480252803321An Alpine expedition through algebraic topology1952502UNINA