Handbook of Homotopy Theory

Preface

Gregory Arone and Michael Ching

1 Goodwillie calculus

David Ayala and John Francis

2 A factorization homology primer

Anthony Bahri, Martin Bendersky, and Frederick R. Cohen

3 Polyhedral products and features of their homotopy theory

Paul Balmer

4 A guide to tensor-triangular classification

Tobias Barthel and Agnes Beaudry

5 Chromatic structures in stable homotopy theory

Mark Behrens

6 Topological modular and automorphic forms

Julia E. Bergner

7 A survey of models for (1,n)-categories

Gunnar Carlsson

8 Persistent homology and applied homotopy theory

Natalia Castellana

9 Algebraic models in the homotopy theory of classifying spaces

Ralph L. Cohen

10 Floer homotopy theory, revisited

Benoit Fresse

11 Little discs operads, graph complexes and Grothendieck-Teichmueller

groups

Soren Galatius and Oscar Randal-Williams

12 Moduli spaces of manifolds: a user's guide

13 An introduction to higher categorical algebra

Moritz Groth

14 A short course on 1-categories

Lars Hesselholt and Thomas Nikolaus

15 Topological cyclic homology

Gijs Heuts

16 Lie algebra models for unstable homotopy theory

Michael A. Hill

17 Equivariant stable homotopy theory

Daniel C. Isaksen and Paul Arne Ostvar

18 Motivic stable homotopy groups

Tyler Lawson

19 En-spectra and Dyer-Lashof operations

Wolfgang Luck

20 Assembly maps

Nathaniel Stapleton

21 Lubin-Tate theory, character theory, and power operations

Kirsten Wickelgren and Ben William

22 Unstable motivic homotopy theory

Index