This page compiles material related to the book collection:
Haynes Miller (ed.)
Handbook of Homotopy Theory
Chapman and Hall/CRC Press 2019
982 pages
on homotopy theory/algebraic topology, 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 December 19, 2020 at 11:52:45. See the history of this page for a list of all contributions to it.