Download this article
 Download this article For screen
For printing
Recent Issues

Volume 26
Issue 5, 1597–1963
Issue 4, 1229–1596
Issue 3, 825–1227
Issue 2, 411–824
Issue 1, 1–410

Volume 25, 9 issues

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
Natural symmetries of secondary Hochschild homology

David Ayala, John Francis and Adam Howard

Algebraic & Geometric Topology 24 (2024) 1953–2010
Bibliography
1 D Ayala, J Francis, Factorization homology of topological manifolds, J. Topol. 8 (2015) 1045 MR3431668
2 D Ayala, J Francis, Fibrations of –categories, High. Struct. 4 (2020) 168 MR4074276
3 D Ayala, J Francis, A Mazel-Gee, N Rozenblyum, Factorization homology of enriched –categories, preprint (2017) arXiv:1710.06414
4 D Ayala, J Francis, H L Tanaka, Factorization homology of stratified spaces, Selecta Math. 23 (2017) 293 MR3595895
5 D Ayala, A Mazel-Gee, N Rozenblyum, A naive approach to genuine G–spectra and cyclotomic spectra, preprint (2017) arXiv:1710.06416
6 D Ayala, J Francis, N Rozenblyum, Factorization homology, I : Higher categories, Adv. Math. 333 (2018) 1042 MR3818096
7 D Ayala, A Mazel-Gee, N Rozenblyum, Stratified noncommutative geometry, (2019) arXiv:1910.14602
8 J M Boardman, R M Vogt, Homotopy invariant algebraic structures on topological spaces, 347, Springer (1973) MR0420609
9 M Bökstedt, W C Hsiang, I Madsen, The cyclotomic trace and algebraic K–theory of spaces, Invent. Math. 111 (1993) 465 MR1202133
10 V Chari, A Pressley, A guide to quantum groups, Cambridge Univ. Press (1994) MR1300632
11 A Connes, Cohomologie cyclique et foncteurs Extn, C. R. Math. Acad. Sci. Paris 296 (1983) 953 MR0777584
12 B R Corrigan-Salter, M D Staic, Higher-order and secondary Hochschild cohomology, C. R. Math. Acad. Sci. Paris 354 (2016) 1049 MR3566502
13 M Dehn, Die Gruppe der Abbildungsklassen : Das arithmetische Feld auf Flächen, Acta Math. 69 (1938) 135 MR1555438
14 B I Dundas, T G Goodwillie, R McCarthy, The local structure of algebraic K–theory, 18, Springer (2013) MR3013261
15 G Dunn, Tensor product of operads and iterated loop spaces, J. Pure Appl. Algebra 50 (1988) 237 MR0938617
16 C J Earle, J Eells, The diffeomorphism group of a compact Riemann surface, Bull. Amer. Math. Soc. 73 (1967) 557 MR0212840
17 T G Goodwillie, Relative algebraic K–theory and cyclic homology, Ann. of Math. 124 (1986) 347 MR0855300
18 A Gramain, Le type d’homotopie du groupe des difféomorphismes d’une surface compacte, Ann. Sci. École Norm. Sup. 6 (1973) 53 MR0326773
19 A Hatcher, Homeomorphisms of sufficiently large P2–irreducible 3–manifolds, Topology 15 (1976) 343 MR0420620
20 A E Hatcher, A proof of the Smale conjecture, Diff(S3) O(4), Ann. of Math. 117 (1983) 553 MR0701256
21 A Hatcher, The Kirby torus trick for surfaces, preprint (2013) arXiv:1312.3518
22 L Hesselholt, Stable topological cyclic homology is topological Hochschild homology, from: "K–theory", Astérisque 226, Soc. Math. France (1994) 175 MR1317119
23 M Hoyois, S Scherotzke, N Sibilla, Higher traces, noncommutative motives, and the categorified Chern character, Adv. Math. 309 (2017) 97 MR3607274
24 J C Laubacher, Secondary Hochschild and cyclic (co)homologies, PhD thesis, Bowling Green State University (2017)
25 J L Loday, Cyclic homology, 301, Springer (1992) MR1217970
26 J Lurie, Rotation invariance in algebraic K–theory, preprint (2015)
27 J Lurie, Higher algebra, preprint (2017)
28 A Mazel-Gee, R Stern, A universal characterization of noncommutative motives and secondary algebraic K–theory, preprint (2021) arXiv:2104.04021
29 J Milnor, Introduction to algebraic K–theory, 72, Princeton Univ. Press (1971) MR0349811
30 T Pirashvili, Hodge decomposition for higher order Hochschild homology, Ann. Sci. École Norm. Sup. 33 (2000) 151 MR1755114
31 J Rawnsley, On the universal covering group of the real symplectic group, J. Geom. Phys. 62 (2012) 2044 MR2944792
32 D Rolfsen, Knots and links, 7, Publish or Perish (1976) MR0515288
33 M D Staic, Secondary Hochschild cohomology, Algebr. Represent. Theory 19 (2016) 47 MR3465889
34 B Toën, G Vezzosi, Chern character, loop spaces and derived algebraic geometry, from: "Algebraic topology" (editors N A Baas, E M Friedlander, B Jahren, P A Østvær), Abel Symp. 4, Springer (2009) 331 MR2597742