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Handbook of Homotopy Theory

A book to be published December 2019

• Haynes Miller (ed.)

  Handbook of Homotopy Theory (table of contents)

on homotopy theory, higher algebra and higher category theory.

Contributions

1. Gregory Arone, Michael Ching, Goodwillie Calculus, (arXiv:1902.00803)

2. David Ayala, John Francis, A factorization homology primer, (arXiv: 1903.10961)

3. Anthony Bahri, Martin Bendersky, and Fred Cohen, Polyhedral products and features of their homotopy theory, (arXiv:1903.04114)

4. Paul Balmer, A guide to tensor-triangular classification, (arXiv:1912.08963)

5. Tobias Barthel and Agnès Beaudry, Chromatic structures in stable homotopy theory, (arXiv:1901.09004)

6. Mark Behrens, Topological modular and automorphic forms (arXiv:1901.07990)

7. Julia Bergner, A survey of models for $(\infty,n)$-categories (arXiv:1810.10052)

8. Gunnar Carlsson, Persistent homology and applied homotopy theory

9. Natàlia Castellana, Algebraic models in the homotopy theory of classifying space

10. Ralph Cohen, Floer homotopy theory, revisited (arXiv:1901.08694)

11. Benoit Fresse, Little discs operads, graph complexes and Grothendieck–Teichmüller groups, (arXiv:1811.12536)

12. Søren Galatius, Oscar Randal-Williams, Moduli spaces of manifolds: a user’s guide, (arXiv:1811.08151)

13. David Gepner, An Introduction to Higher Categorical Algebra, (arXiv:1907.02904)

14. Moritz Groth, A short course on $\infty$-categories, (arXiv:1007.2925)

15. Lars Hesselholt, Thomas Nikolaus, Topological cyclic homology, (arXiv:1905.08984)

16. Gijs Heuts, Lie algebra models for unstable homotopy theory, (arXiv:1907.13055)

17. Michael Hill, Equivariant stable homotopy theory

18. Daniel Isaksen, Paul Arne Østvær, Motivic stable homotopy groups, (arXiv:1811.05729)

19. Tyler Lawson, $E_n$-ring spectra and Dyer-Lashof operations, (arXiv:2002.03889) (differently-formatted author pdf)

20. Wolfgang Lueck, Assembly Maps, (arXiv:1805.00226)

21. Nathaniel Stapleton, Lubin-Tate theory, character theory, and power operations, (arXiv:1810.12339)

22. Kirsten Wickelgren, Ben Williams, Unstable Motivic Homotopy Theory, (arXiv: 1902.08857)

Related entries

• Handbook of Algebraic Topology

category: reference