Handbook of homotopy theory /

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Bibliographic Details
Imprint:	Boca Raton, FL : CRC Press, [2020]
Description:	vii, 982 pages : illustrations ; 26 cm.
Language:	English
Series:	CRC Press/ Chapman and Hall handbooks in mathematics series
Subject:	Homotopy theory. Homotopy theory.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/13143316

Hidden Bibliographic Details
Varying Form of Title:	Homotopy theory
Other authors / contributors:	Miller, Haynes R., 1948- editor.
ISBN:	9780815369707 0815369700 9781351251624 1351251627 9781351251600
Notes:	Includes bibliographical references and index.
Summary:	"The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines. The origins of the subject date back to work of Henri Poincaré and Heinz Hopf in the early twentieth century, but it has seen enormous progress in the 21st century. A highlight of this volume is an introduction to and diverse applications of the newly established foundational theory of -categories. The coverage is vast, ranging from axiomatic to applied, from foundational to computational, and includes surveys of applications both geometric and algebraic. The contributors are among the most active and creative researchers in the field. The 22 chapters by 31 contributors are designed to address novices as well as established mathematicians interested in learning the state of the art in this field, whose methods are of increasing importance in many other areas"--

Table of Contents:

Goodwillie calculus / Gregory Arone and Michael Ching
A factorization homology primer / David Ayala and John Francis
Polyhedral products and features of their homotopy theory / Anthony Bahri, Martin Bendersky, and Frederick R. Cohen
A guide to tensor-triangular classification / Paul Balmer
Chromatic structures in stable homotopy theory / Tobias Barthel and Agnes Beaudry
Topological modular and automorphic forms / Mark Behrens
A survey of models for ([infinity symbol],n)-categories / Julia E. Bergner
Persistent homology and applied homotopy theory / Gunnar Carlsson
Algebraic models in the homotopy theory of classifying spaces / Natalia Castellana
Floer homotopy theory, revisited / Ralph L. Cohen
Little discs operads, graph complexes and Grothendieck-Teichmüller groups / Benoit Fresse
Moduli spaces of manifolds : a user's guide / Søren Galatius and Oscar Randal-Williams
An introduction to higher categorical algebra / David Gepner
A short course on [infinity symbol]-categories / Moritz Groth
Topological cyclic homology / Lars Hesselholt and Thomas Nikolaus
Lie algebra models for unstable homotopy theory / Gijs Heuts
Equivariant stable homotopy theory / Michael A. Hill
Motivic stable homotopy groups / Daniel C. Isaksen and Paul Arne Ostvar
En-spectra and Dyer-Lashof operations / Tyler Lawson
Assembly maps / Wolfgang Luck
Lubin-Tate theory, character theory, and power operations / Nathaniel Stapleton
Unstable motivic homotopy theory / Kirsten Wickelgren and Ben William.

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