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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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | , , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
2017.
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| Colección: | Contemporary Mathematics.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.
- 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
- 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
- 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