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The higher Morita category of $\mathbb{E}_{n}$–algebras

Rune Haugseng

Geometry & Topology 21 (2017) 1631–1730
Bibliography
1 R Andrade, From manifolds to invariants of En-algebras, PhD thesis, Massachusetts Institute of Technology (2010) MR2898647
2 B Antieau, D Gepner, Brauer groups and étale cohomology in derived algebraic geometry, Geom. Topol. 18 (2014) 1149 MR3190610
3 M Atiyah, Topological quantum field theories, Inst. Hautes Études Sci. Publ. Math. 68 (1988) 175 MR1001453
4 D Ayala, J Francis, N Rozenblyum, Factorization homology from higher categories, preprint (2015) arXiv:1504.04007
5 D Ayala, J Francis, H L Tanaka, Factorization homology of stratified spaces, Selecta Math. 23 (2017) 293 MR3595895
6 D Ayala, R Hepworth, Configuration spaces and Θn, Proc. Amer. Math. Soc. 142 (2014) 2243 MR3195750
7 J C Baez, J Dolan, Higher-dimensional algebra and topological quantum field theory, J. Math. Phys. 36 (1995) 6073 MR1355899
8 A Baker, B Richter, M Szymik, Brauer groups for commutative S–algebras, J. Pure Appl. Algebra 216 (2012) 2361 MR2927172
9 C Barwick, (,n)–Cat as a closed model category, PhD thesis, University of Pennsylvania (2005) MR2706984
10 C Barwick, From operator categories to topological operads, preprint (2013) arXiv:1302.5756
11 D Calaque, C Scheimbauer, A note on the (,n)–category of cobordisms, preprint (2015) arXiv:1509.08906
12 G S H Cruttwell, M A Shulman, A unified framework for generalized multicategories, Theory Appl. Categ. 24 (2010) 580 MR2770076
13 J Francis, The tangent complex and Hochschild cohomology of n–rings, Compos. Math. 149 (2013) 430 MR3040746
14 D S Freed, Higher algebraic structures and quantization, Comm. Math. Phys. 159 (1994) 343 MR1256993
15 R Garner, N Gurski, The low-dimensional structures formed by tricategories, Math. Proc. Cambridge Philos. Soc. 146 (2009) 551 MR2496344
16 D Gepner, R Haugseng, Enriched –categories via non-symmetric –operads, Adv. Math. 279 (2015) 575 MR3345192
17 G Ginot, Notes on factorization algebras, factorization homology and applications, from: "Mathematical aspects of quantum field theories" (editors D Calaque, T Strobl), Springer (2015) 429 MR3330249
18 A Grothendieck, Revêtements étales et groupe fondamental (SGA 1), 224, Springer (1971) MR0354651
19 R Haugseng, Iterated spans and “classical” topological field theories, preprint (2014) arXiv:1409.0837
20 M J Hopkins, M Mahowald, H Sadofsky, Constructions of elements in Picard groups, from: "Topology and representation theory" (editors E M Friedlander, M E Mahowald), Contemp. Math. 158, Amer. Math. Soc. (1994) 89 MR1263713
21 T Johnson-Freyd, C Scheimbauer, (Op)lax natural transformations, twisted quantum field theories, and “even higher” Morita categories, Adv. Math. 307 (2017) 147 MR3590516
22 N Johnson, Morita theory for derived categories: a bicategorical perspective, preprint (2008) arXiv:0805.3673
23 A Joyal, Notes on quasicategories, unpublished (2008)
24 A Joyal, M Tierney, Quasi-categories vs Segal spaces, from: "Categories in algebra, geometry and mathematical physics" (editors A Davydov, M Batanin, M Johnson, S Lack, A Neeman), Contemp. Math. 431, Amer. Math. Soc. (2007) 277 MR2342834
25 A Kapustin, Topological field theory, higher categories, and their applications, from: "Proceedings of the International Congress of Mathematicians" (editors R Bhatia, A Pal, G Rangarajan, V Srinivas, M Vanninathan), Hindustan Book Agency (2010) 2021 MR2827874
26 R J Lawrence, Triangulations, categories and extended topological field theories, from: "Quantum topology" (editors L H Kauffman, R A Baadhio), Ser. Knots Everything 3, World Sci. Publ. (1993) 191 MR1273575
27 T Leinster, Higher operads, higher categories, 298, Cambridge University Press (2004) MR2094071
28 J Lurie, Higher topos theory, 170, Princeton University Press (2009) MR2522659
29 J Lurie, (,2)–categories and the Goodwillie calculus, I, preprint (2009)
30 J Lurie, On the classification of topological field theories, from: "Current developments in mathematics, 2008" (editors D Jerison, B Mazur, T Mrowka, W Schmid, R Stanley, S T Yau), International Press (2009) 129 MR2555928
31 J Lurie, Higher algebra, unpublished manuscript (2014)
32 A Mathew, V Stojanoska, The Picard group of topological modular forms via descent theory, Geom. Topol. 20 (2016) 3133 MR3590352
33 J P May, Picard groups, Grothendieck rings, and Burnside rings of categories, Adv. Math. 163 (2001) 1 MR1867201
34 S Morrison, K Walker, Blob homology, Geom. Topol. 16 (2012) 1481 MR2978449
35 C Rezk, A model for the homotopy theory of homotopy theory, Trans. Amer. Math. Soc. 353 (2001) 973 MR1804411
36 C Scheimbauer, Factorization homology as a fully extended topological field theory, PhD thesis, ETH Zurich (2014)
37 C J Schommer-Pries, The classification of two-dimensional extended topological field theories, preprint (2011) arXiv:1112.1000
38 G Segal, Categories and cohomology theories, Topology 13 (1974) 293 MR0353298
39 M A Shulman, Constructing symmetric monoidal bicategories, preprint (2010) arXiv:1004.0993
40 M Szymik, Brauer spaces for commutative rings and structured ring spectra, preprint (2011) arXiv:1110.2956
41 B Toën, Derived Azumaya algebras and generators for twisted derived categories, Invent. Math. 189 (2012) 581 MR2957304