Proper equivariant stable homotopy theory / Dieter Degrijse, Markus Hausmann, Wolfgang Lück, Irakli Patchkoria, Stefan Schwede.

Format:

Book

Author/Creator:

Degrijse, Dieter, author.

Hausmann, Markus (Mathematician), author.

Lück, Wolfgang, 1957- author.

Patchkoria, Irakli, author.

Schwede, Stefan, author.

Series:

Memoirs of the American Mathematical Society ; no. 1432.

Memoirs of the American Mathematical Society, 0065-9266 ; no. 1432

Language:

English

Subjects (All):

Algebraic topology.

Physical Description:

vi, 142 pages : illustrations ; 26 cm.

Place of Publication:

Providence, RI : American Mathematical Society, [2023]

Summary:

This monograph introduces a framework for genuine proper equivariant stable homotopy theory for Lie groups. The adjective `proper' alludes to the feature that equivalences are tested on compact subgroups, and that the objects are built from equivariant cells with compact isotropy groups; the adjective `genuine' indicates that the theory comes with appropriate transfers and Wirthmüller isomorphisms, and the resulting equivariant cohomology theories support the analog of an RO(G)-grading.

Contents:

Introduction

Chapter 1. Equivariant spectra

Chapter 2. Equivariant homotopy groups

Chapter 3. Proper equivariant cohomology theories

Bibliography

Index.

Notes:

Includes bibliographical references (pages 137-140) and index.

ISBN:

1470467046

9781470467043

OCLC:

1395536730