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Twisted spectra revisited

Alice Hedenlund and Tasos Moulinos

Algebraic & Geometric Topology 25 (2025) 5693–5754
Bibliography
1 M Abouzaid, A J Blumberg, Arnold conjecture and Morava K-theory, preprint (2021) arXiv:2103.01507
2 M Abouzaid, T Kragh, On the immersion classes of nearby Lagrangians, J. Topol. 9 (2016) 232 MR3465849
3 M Ando, A J Blumberg, D Gepner, Parametrized spectra, multiplicative Thom spectra and the twisted Umkehr map, Geom. Topol. 22 (2018) 3761 MR3890766
4 B Antieau, D Gepner, Brauer groups and étale cohomology in derived algebraic geometry, Geom. Topol. 18 (2014) 1149 MR3190610
5 M F Atiyah, R Bott, A Shapiro, Clifford modules, Topology 3 (1964) 3 MR167985
6 S Behrens, A Hedenlund, T Kragh, Seiberg–Witten Floer theory as twisted parametrized equivariant spectra,
7 S Carmeli, B Cnossen, M Ramzi, L Yanovski, Characters and transfer maps via categorified traces, preprint (2022) arXiv:2210.17364
8 D Clausen, p-adic J-homomorphisms and a product formula, preprint (2011) arXiv:1110.5851
9 B Cnossen, Twisted ambidexterity in equivariant homotopy theory, preprint (2023) arXiv:2303.00736
10 R L Cohen, J D S Jones, G B Segal, Floer’s infinite-dimensional Morse theory and homotopy theory, from: "The Floer memorial volume" (editors H Hofer, C H Taubes, A Weinstein, E Zehnder), Progr. Math. 133, Birkhäuser (1995) 297 MR1362832
11 P Donovan, M Karoubi, Graded Brauer groups and K-theory with local coefficients, Inst. Hautes Études Sci. Publ. Math. 38 (1970) 5 MR282363
12 C L Douglas, Twisted parametrized stable homotopy theory, preprint (2005) arXiv:math/0508070
13 D S Freed, M J Hopkins, C Teleman, Loop groups and twisted K-theory I, J. Topol. 4 (2011) 737 MR2860342
14 K Fukaya, Y G Oh, H Ohta, K Ono, Kuranishi structures and virtual fundamental chains, Springer (2020) MR4179586
15 M Furuta, Prespectrum with parametrized universe, preprint (2002)
16 D Gaitsgory, N Rozenblyum, A study in derived algebraic geometry, I : Correspondences and duality, 221, Amer. Math. Soc. (2017) MR3701352
17 D Gepner, R Haugseng, Enriched -categories via non-symmetric -operads, Adv. Math. 279 (2015) 575 MR3345192
18 D Gepner, T Lawson, Brauer groups and Galois cohomology of commutative ring spectra, Compos. Math. 157 (2021) 1211 MR4270473
19 H Hofer, K Wysocki, E Zehnder, Polyfold and Fredholm theory, 72, Springer (2021) MR4298268
20 M Hopkins, J Lurie, Ambidexterity in K(n)-local stable homotopy theory, preprint (2013)
21 M Hoyois, S Scherotzke, N Sibilla, Higher traces, noncommutative motives, and the categorified Chern character, Adv. Math. 309 (2017) 97 MR3607274
22 X Jin, Microlocal sheaf categories and the J-homomorphism, preprint (2020) arXiv:2004.14270
23 T Khandhawit, Twisted Manolescu–Floer spectra for Seiberg–Witten monopoles, PhD thesis, Massachusetts Institute of Technology (2013)
24 T Khandhawit, J Lin, H Sasahira, Unfolded Seiberg–Witten Floer spectra, I : Definition and invariance, Geom. Topol. 22 (2018) 2027 MR3784516
25 P Kronheimer, T Mrowka, Monopoles and three-manifolds, 10, Cambridge Univ. Press (2007) MR2388043
26 J Lurie, Higher topos theory, 170, Princeton Univ. Press (2009) MR2522659
27 J Lurie, Higher algebra, preprint (2017)
28 J Lurie, Rotation invariance in algebraic K-theory, preprint (2018)
29 J Lurie, Spectral algebraic geometry, preprint (2018)
30 T Maegawa, Even-periodic cohomology theories for twisted parametrized spectra, preprint (2023) arXiv:2307.12258
31 C Manolescu, Seiberg–Witten–Floer stable homotopy type of three-manifolds with b1 = 0, Geom. Topol. 7 (2003) 889 MR2026550
32 J P May, J Sigurdsson, Parametrized homotopy theory, 132, Amer. Math. Soc. (2006) MR2271789
33 D McDuff, D Salamon, Introduction to symplectic topology, Oxford Univ. Press (2017) MR3674984
34 A Pressley, G Segal, Loop groups, Clarendon (1986) MR900587
35 M Ramzi, A monoidal Grothendieck construction for -categories, preprint (2022) arXiv:2209.12569
36 H Sasahira, M Stoffregen, Seiberg–Witten Floer spectra for b1 > 0, 17, Eur. Math. Soc. (2025) MR4867561
37 M Szymik, Brauer spaces for commutative rings and structured ring spectra, from: "Manifolds and K-theory" (editors G Arone, B Johnson, P Lambrechts, B A Munson, I Volić), Contemp. Math. 682, Amer. Math. Soc. (2017) 189 MR3603899
38 B Toën, Derived Azumaya algebras and generators for twisted derived categories, Invent. Math. 189 (2012) 581 MR2957304
39 B Toën, G Vezzosi, Homotopical algebraic geometry, II : Geometric stacks and applications, 902, Amer. Math. Soc. (2008) MR2394633