Handbook of homotopy theory
edited by Haynes Miller
Bok · Engelsk · 2020
| Medvirkende | |
|---|---|
| Omfang | vii, 982 sider : figurer
|
| Opplysninger | 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.. - "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"--
|
| Emner | |
| Dewey | |
| ISBN | 9780815369707
|