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Manifolds and K-Theory.

This volume contains the proceedings of the conference on Manifolds, K-Theory, and Related Topics, held from June 23-27, 2014, in Dubrovnik, Croatia. The articles contained in this volume are a collection of research papers featuring recent advances in homotopy theory, K-theory, and their applicatio...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Arone, Gregory
Otros Autores: Johnson, Brenda, Lambrechts, Pascal, Munson, Brian A., Volic, Ismar
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2017.
Colección:Contemporary Mathematics.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Manifolds and K-Theory. 
260 |a Providence :  |b American Mathematical Society,  |c 2017. 
300 |a 1 online resource (274 pages) 
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490 1 |a Contemporary Mathematics ;  |v v. 682 
588 0 |a Print version record. 
505 8 |6 880-01  |a Contractible manifolds with exotic positive scalar curvature behavior1. Introduction; 2. Background; 3. Contractible; References; Relative Schur multipliers and universal extensions of group homomorphisms; 1. Introduction; 2. Central -extensions and relative Schur multiplier; 3. Universal factorizations; Acknowledgment; References; Scissors congruence with mixed dimensions; Introduction; 1. The polytope group of a PL space; 2. Cones; 3. The Æ"product; 4. Relation with McMullen's work; 5. The local Euler invariant and the Æ"product; 6. Euclidean invariants; 7. The graded rings and. 
505 8 |a 8. Manifolds without boundary and Euclidean invariantsReferences; On the moduli space of _{∞}-structures; 1. Introduction; 2. Preliminaries; 3. Proof of Theorem A and Addendum B; 4. Proof of Theorem E; 5. Proof of Theorem C; 6. The augmented case; 7. Examples; Acknowledgements; References; Nilpotence in the symplectic bordism ring; References; A geometric homology representative in the space of knots; 1. Introduction; 2. Definition of the cycle; 3. The Longoni cocycle; 4. Nontriviality; 5. Future work; Appendix A. Isotopies; References 
505 8 |a Brauer spaces for commutative rings and structured ring spectraIntroduction; 1. Background on algebraic K-theory; 2. Whitehead groups and Whitehead spaces; 3. Brauer spectra for commutative rings; 4. A scholion on the Azumaya complex; 5. Brauer spectra for structured ring spectra; 6. Functoriality; References; Bridgeland stability, 2-Segal spaces, and the Ran space of the line; 1. Introduction; 2. Bridgeland stability conditions for stable ∞-categories; 3. Hall-type invariants for stable ∞-categories; 4. The Hall-type objects associated to stability conditions 
505 8 |a 5. Appendix: Stable ∞-categoriesAcknowledgments; References; Occupants in manifolds; 1. Occupants in a submanifold; 2. Occupants in the interior of a manifold; 3. Gates; 4. Occupants near the gate; References; Back Cover 
520 |a This volume contains the proceedings of the conference on Manifolds, K-Theory, and Related Topics, held from June 23-27, 2014, in Dubrovnik, Croatia. The articles contained in this volume are a collection of research papers featuring recent advances in homotopy theory, K-theory, and their applications to manifolds. Topics covered include homotopy and manifold calculus, structured spectra, and their applications to group theory and the geometry of manifolds. This volume is a tribute to the influence of Tom Goodwillie in these fields. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a K-theory  |v Congresses. 
650 0 |a Manifolds (Mathematics)  |v Congresses. 
650 0 |a Homology theory  |v Congresses. 
650 4 |a Manifolds and cell complexes  |x Differential topology  |x Algebraic topology on manifolds. 
650 6 |a K-théorie  |v Congrès. 
650 6 |a Variétés (Mathématiques)  |v Congrès. 
650 6 |a Homologie  |v Congrès. 
650 7 |a Homology theory  |2 fast 
650 7 |a K-theory  |2 fast 
650 7 |a Manifolds (Mathematics)  |2 fast 
655 7 |a Conference papers and proceedings  |2 fast 
700 1 |a Johnson, Brenda. 
700 1 |a Lambrechts, Pascal. 
700 1 |a Munson, Brian A. 
700 1 |a Volic, Ismar. 
776 0 8 |i Print version:  |a Arone, Gregory.  |t Manifolds and K-Theory.  |d Providence : American Mathematical Society, ©2017  |z 9781470417000 
830 0 |a Contemporary Mathematics. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4908285  |z Texto completo 
880 0 |6 505-01/(S  |a Cover; Title page; Contents; Preface; Manifolds, K-theory and the calculus of functors; 1. Background; 2. Functors whose derivatives are a module over the Koszul dual of the little discs operad; 3. A category of pointed framed manifolds; 4. The Taylor tower of Waldhausen's algebraic K-theory of spaces functor; Acknowledgements; References; Diagrams encoding group actions on Γ-spaces; 1. Introduction; 2. Background; 3. Actions of a fixed group on Γ-spaces; 4. Varying group actions on Γ-spaces; Acknowledgement; References. 
938 |a ProQuest Ebook Central  |b EBLB  |n EBL4908285 
994 |a 92  |b IZTAP