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.: UNINA9910788257103321
• 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 , 0271-4132
• Classificazione: 18A2518G1019Dxx19L4120D9955Nxx55Pxx55Uxx57R50
• Disciplina: 514/.2
• Soggetti: Homotopy theory; Algebraic topology; 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 Waldhausen'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.