Handbook of Homotopy Theory: CRC Press/Chapman and Hall Handbooks in Mathematics Series
Editat de Haynes Milleren Limba Engleză Paperback – 14 oct 2024
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.
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Specificații
ISBN-13: 9781032917382
ISBN-10: 1032917385
Pagini: 990
Ilustrații: 20
Dimensiuni: 178 x 254 mm
Greutate: 1.83 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria CRC Press/Chapman and Hall Handbooks in Mathematics Series
Locul publicării:Boca Raton, United States
ISBN-10: 1032917385
Pagini: 990
Ilustrații: 20
Dimensiuni: 178 x 254 mm
Greutate: 1.83 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria CRC Press/Chapman and Hall Handbooks in Mathematics Series
Locul publicării:Boca Raton, United States
Public țintă
AcademicCuprins
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–Teichmüller
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
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–Teichmüller
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
Descriere
The Handbook of Homotopy established the state-of-the-art research on this emerging topic in topology. The list of topics and contributors is impressive. The topics cover a broad swath, and the contributors will do an outstanding job. Students particularly will findthis book to be an entree to an active field of study.