A book published on December 23, 2019 by Chapman and Hall/CRC (ISBN 9780815369707), 982 pages.
Haynes Miller (ed.)
Handbook of Homotopy Theory (table of contents)
on homotopy theory, including higher algebra and higher category theory.
The editor, Haynes Miller, comments in the introduction on the choice of title:
This volume may be regarded as a successor to the “Handbook of Algebraic Topology,” edited by Ioan James and published a quarter of a century ago. In calling it the “Handbook of Homotopy Theory,” I am recognizing that the discipline has expanded and deepened, and traditional questions of topology, as classically understood, are now only one of many distinct mathematical disciplines in which it has had a profound impact and which serve as sources of motivation for research directions within homotopy theory proper.
Gregory Arone, Michael Ching, Goodwillie Calculus, (arXiv:1902.00803)
David Ayala, John Francis, A factorization homology primer, (arXiv: 1903.10961)
Anthony Bahri, Martin Bendersky, and Fred Cohen, Polyhedral products and features of their homotopy theory, (arXiv:1903.04114)
Paul Balmer, A guide to tensor-triangular classification, (arXiv:1912.08963)
on tensor triangulated categories
Tobias Barthel and Agnès Beaudry, Chromatic structures in stable homotopy theory, (arXiv:1901.09004)
Mark Behrens, Topological modular and automorphic forms (arXiv:1901.07990)
Julia Bergner, A survey of models for $(\infty,n)$-categories (arXiv:1810.10052)
Gunnar Carlsson, Persistent homology and applied homotopy theory (arXiv:2004.00738)
on persistent homology in topological data analysis
Natàlia Castellana, Algebraic models in the homotopy theory of classifying spaces
Ralph Cohen, Floer homotopy theory, revisited (arXiv:1901.08694)
Benoit Fresse, Little discs operads, graph complexes and Grothendieck–Teichmüller groups, (arXiv:1811.12536)
on little disc operads, graph complexes and the Grothendieck-Teichmueller group
Søren Galatius, Oscar Randal-Williams, Moduli spaces of manifolds: a user’s guide, (arXiv:1811.08151)
David Gepner, An Introduction to Higher Categorical Algebra, (arXiv:1907.02904)
Moritz Groth, A short course on $\infty$-categories, (arXiv:1007.2925)
Lars Hesselholt, Thomas Nikolaus, Topological cyclic homology, (arXiv:1905.08984)
on topological cyclic homology
Gijs Heuts, Lie algebra models for unstable homotopy theory, (arXiv:1907.13055)
Michael Hill, Equivariant stable homotopy theory
on equivariant stable homotopy theory
Daniel Isaksen, Paul Arne Østvær, Motivic stable homotopy groups, (arXiv:1811.05729)
Tyler Lawson, $E_n$-ring spectra and Dyer-Lashof operations, (arXiv:2002.03889, differently-formatted author pdf)
on E_n-ring spectra and power operations
Wolfgang Lueck, Assembly Maps, (arXiv:1805.00226)
Nathaniel Stapleton, Lubin-Tate theory, character theory, and power operations, (arXiv:1810.12339)
on Lubin-Tate theory and power operations
Kirsten Wickelgren, Ben Williams, Unstable Motivic Homotopy Theory, (arXiv: 1902.08857)
Last revised on April 5, 2020 at 10:16:52. See the history of this page for a list of all contributions to it.