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Extension DGAs and topological Hochschild homology

Haldun Özgür Bayındır

Algebraic & Geometric Topology 23 (2023) 895–932
Bibliography
1 H Ö Bayındır, Topological equivalences of E–infinity differential graded algebras, Algebr. Geom. Topol. 18 (2018) 1115 MR3773750
2 H Ö Bayındır, DGAs with polynomial homology, Adv. Math. 389 (2021) 107907 MR4289043
3 H Ö Bayındır, T Moulinos, Algebraic K–theory of THH(𝔽p), Trans. Amer. Math. Soc. 375 (2022) 4177 MR4419056
4 C Berger, B Fresse, Combinatorial operad actions on cochains, Math. Proc. Cambridge Philos. Soc. 137 (2004) 135 MR2075046
5 P Berthelot, Cohomologie cristalline des schémas de caractéristique p > 0, 407, Springer (1974) 604 MR0384804
6 F Borceux, Handbook of categorical algebra, II : Categories and structures, 51, Cambridge Univ. Press (1994) MR1313497
7 R R Bruner, J P May, J E McClure, M Steinberger, H ring spectra and their applications, 1176, Springer (1986) MR836132
8 D Dugger, B Shipley, Enriched model categories and an application to additive endomorphism spectra, Theory Appl. Categ. 18 (2007) 400 MR2342167
9 D Dugger, B Shipley, Topological equivalences for differential graded algebras, Adv. Math. 212 (2007) 37 MR2319762
10 A D Elmendorf, I Kriz, M A Mandell, J P May, Rings, modules, and algebras in stable homotopy theory, 47, Amer. Math. Soc. (1997) MR1417719
11 A Grothendieck, Géométrie formelle et géométrie algébrique, from: "Séminaire Bourbaki, 1958/59", W A Benjamin (1966) MR1603467
12 L Hesselholt, I Madsen, On the K–theory of finite algebras over Witt vectors of perfect fields, Topology 36 (1997) 29 MR1410465
13 M Hovey, B Shipley, J Smith, Symmetric spectra, J. Amer. Math. Soc. 13 (2000) 149 MR1695653
14 B Keller, On differential graded categories, from: "International Congress of Mathematicians, II" (editors M Sanz-Solé, J Soria, J L Varona, J Verdera), Eur. Math. Soc. (2006) 151 MR2275593
15 A Krause, T Nikolaus, Bökstedt periodicity and quotients of DVRs, Compos. Math. 158 (2022) 1683 MR4490929
16 M Larsen, A Lindenstrauss, Topological Hochschild homology of algebras in characteristic p, J. Pure Appl. Algebra 145 (2000) 45 MR1732287
17 J Milnor, The Steenrod algebra and its dual, Ann. of Math. 67 (1958) 150 MR99653
18 A Petrov, V Vologodsky, On the periodic topological cyclic homology of DG categories in characteristic p, preprint (2019) arXiv:1912.03246
19 B Richter, B Shipley, An algebraic model for commutative H–algebras, Algebr. Geom. Topol. 17 (2017) 2013 MR3685600
20 R Schwänzl, R M Vogt, F Waldhausen, Adjoining roots of unity to E ring spectra in good cases — a remark, from: "Homotopy invariant algebraic structures" (editors J P Meyer, J Morava, W S Wilson), Contemp. Math. 239, Amer. Math. Soc. (1999) 245 MR1718085
21 S Schwede, An untitled book project about symmetric spectra, book project (2007)
22 S Schwede, B E Shipley, Algebras and modules in monoidal model categories, Proc. London Math. Soc. 80 (2000) 491 MR1734325
23 S Schwede, B Shipley, Equivalences of monoidal model categories, Algebr. Geom. Topol. 3 (2003) 287 MR1997322
24 J P Serre, Exemples de variétés projectives en caractéristique p non relevables en caractéristique zéro, Proc. Nat. Acad. Sci. U.S.A. 47 (1961) 108 MR132067
25 B Shipley, A convenient model category for commutative ring spectra, from: "Homotopy theory : relations with algebraic geometry, group cohomology, and algebraic K–theory" (editors P Goerss, S Priddy), Contemp. Math. 346, Amer. Math. Soc. (2004) 473 MR2066511
26 B Shipley, H–algebra spectra are differential graded algebras, Amer. J. Math. 129 (2007) 351 MR2306038
27 D W Stanley, Closed model categories and monoidal categories, PhD thesis, University of Toronto (1997) MR2697667
28 D White, Model structures on commutative monoids in general model categories, J. Pure Appl. Algebra 221 (2017) 3124 MR3666740