Description

Book Synopsis
Contains the proceedings of the conference on Manifolds, $K$-Theory, and Related Topics, held in June, 2014. The articles 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.

Table of Contents
  • G. Arone and M. Ching, Manifolds, K-theory and the calculus of functors
  • J. E. Bergner and P. Hackney, Diagrams encoding group actions on $\Gamma$-spaces
  • S. Chang, S. Weinberger, and G. Yu, Contractible manifolds with exotic positive scalar curvature behavior
  • E. D. Farjoun and Y. Segev, Relative Schur multipliers and universal extensions of group homomorphisms
  • T. G. Goodwillie, Scissors congruence with mixed dimensions
  • J. R. Klein and S. Tilson, On the moduli space of $A_\infty$-structures
  • J. Noel, Nilpotence in the symplectic bordism ring
  • K. E. Pelatt and D. P. Sinha, A geometric homology representative in the space of knots
  • M. Szymik, Brauer spaces for commutative rings and structured ring spectra
  • H. L. Tanaka, Bridgeland stability, 2-Segal spaces, and the Ran space of the line
  • S. Tillmann and M. S. Weiss, Occupants in manifolds.

Manifolds and KTheory

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    A Paperback / softback by Gregory Arone, Brenda Johnson, Pascal Lambrechts

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      Publisher: American Mathematical Society
      Publication Date: Publication Date: 30/01/2017
      ISBN13: 9781470417000, 978-1470417000
      ISBN10: 1470417006

      Description

      Book Synopsis
      Contains the proceedings of the conference on Manifolds, $K$-Theory, and Related Topics, held in June, 2014. The articles 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.

      Table of Contents
      • G. Arone and M. Ching, Manifolds, K-theory and the calculus of functors
      • J. E. Bergner and P. Hackney, Diagrams encoding group actions on $\Gamma$-spaces
      • S. Chang, S. Weinberger, and G. Yu, Contractible manifolds with exotic positive scalar curvature behavior
      • E. D. Farjoun and Y. Segev, Relative Schur multipliers and universal extensions of group homomorphisms
      • T. G. Goodwillie, Scissors congruence with mixed dimensions
      • J. R. Klein and S. Tilson, On the moduli space of $A_\infty$-structures
      • J. Noel, Nilpotence in the symplectic bordism ring
      • K. E. Pelatt and D. P. Sinha, A geometric homology representative in the space of knots
      • M. Szymik, Brauer spaces for commutative rings and structured ring spectra
      • H. L. Tanaka, Bridgeland stability, 2-Segal spaces, and the Ran space of the line
      • S. Tillmann and M. S. Weiss, Occupants in manifolds.

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