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020 _a9781470436650
_q(electronic bk.)
020 _z9781470417000
035 _a(MiAaPQ)EBC4908285
035 _a(Au-PeEL)EBL4908285
035 _a(CaPaEBR)ebr11409830
035 _a(OCoLC)993763121
040 _aMiAaPQ
_beng
_erda
_epn
_cMiAaPQ
_dMiAaPQ
050 4 _aQA612.33.M365 2017
082 0 _a512.6
100 1 _aArone, Gregory.
245 1 0 _aManifolds and
_K
_-Theory.
250 _a1st ed.
264 1 _aProvidence :
_bAmerican Mathematical Society,
_c2017.
264 4 _c©2017.
300 _a1 online resource (274 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aContemporary Mathematics ;
_vv.682
505 0 _aCover -- 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 -- Contractible manifolds with exotic positive scalar curvature behavior -- 1. 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 ⋆-product -- 4. Relation with McMullen's work -- 5. The local Euler invariant and the ⋆-product -- 6. Euclidean invariants -- 7. The graded rings and -- 8. Manifolds without boundary and Euclidean invariants -- References -- 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 -- Brauer spaces for commutative rings and structured ring spectra -- Introduction.
505 8 _a1. 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 -- 5. Appendix: Stable ∞-categories -- Acknowledgments -- 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 _aThis 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.
588 _aDescription based on publisher supplied metadata and other sources.
590 _aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 0 _aK-theory--Congresses.
655 4 _aElectronic books.
700 1 _aJohnson, Brenda.
700 1 _aLambrechts, Pascal.
700 1 _aMunson, Brian A.
700 1 _aVolic, Ismar.
776 0 8 _iPrint version:
_aArone, Gregory
_tManifolds and
_K
_-Theory
_dProvidence : American Mathematical Society,c2017
_z9781470417000
797 2 _aProQuest (Firm)
830 0 _aContemporary Mathematics
856 4 0 _uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4908285
_zClick to View
999 _c128029
_d128029