**Contemporary Mathematics**

Volume: 682;
2017;
259 pp;
Softcover

MSC: Primary 18; 19; 52; 55; 57;

Print ISBN: 978-1-4704-1700-0

Product Code: CONM/682

List Price: $111.00

AMS Member Price: $88.80

MAA Member Price: $99.90

**Electronic ISBN: 978-1-4704-3665-0
Product Code: CONM/682.E**

List Price: $111.00

AMS Member Price: $88.80

MAA Member Price: $99.90

# Manifolds and \(K\)-Theory

Share this page *Edited by *
*Gregory Arone; Brenda Johnson; Pascal Lambrechts; Brian A. Munson; Ismar Volić*

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.

#### Readership

Graduate students and research mathematicians interested in algebraic topology and k-theory.

# Table of Contents

## Manifolds and $K$-Theory

- Cover Cover11
- Title page iii4
- Contents vii8
- Preface ix10
- Manifolds, K-theory and the calculus of functors 112
- Diagrams encoding group actions on Γ-spaces 3950
- Contractible manifolds with exotic positive scalar curvature behavior 5162
- Relative Schur multipliers and universal extensions of group homomorphisms 6576
- Scissors congruence with mixed dimensions 8192
- Introduction 8192
- 1. The polytope group of a PL space 8596
- 2. Cones 97108
- 3. The ⋆-product 105116
- 4. Relation with McMullen’s work 112123
- 5. The local Euler invariant and the ⋆-product 116127
- 6. Euclidean invariants 117128
- 7. The graded rings 𝐸 and 𝐿 125136
- 8. Manifolds without boundary and Euclidean invariants 133144
- References 139150

- On the moduli space of 𝐴_{∞}-structures 141152
- Nilpotence in the symplectic bordism ring 161172
- A geometric homology representative in the space of knots 167178
- Brauer spaces for commutative rings and structured ring spectra 189200
- Bridgeland stability, 2-Segal spaces, and the Ran space of the line 209220
- Occupants in manifolds 237248
- Back Cover Back Cover1274