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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    View other formats and editions of Manifolds and KTheory by Gregory Arone

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

    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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