Algebraic & Geometric Topology Volume 21, issue 1 (2021)

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$2$–Segal spaces as invertible infinity-operads

Tashi Walde

Algebraic & Geometric Topology 21 (2021) 211–246

DOI: 10.2140/agt.2021.21.211

Bibliography

1	D Ara, D C Cisinski, I Moerdijk, The dendroidal category is a test category, Math. Proc. Cambridge Philos. Soc. 167 (2019) 107 MR3968823
2	J E Bergner, A M Osorno, V Ozornova, M Rovelli, C I Scheimbauer, 2–Segal sets and the Waldhausen construction, Topology Appl. 235 (2018) 445 MR3760213
3	J M Boardman, R M Vogt, Homotopy invariant algebraic structures on topological spaces, 347, Springer (1973) MR0420609
4	P Boavida de Brito, I Moerdijk, Dendroidal spaces, Γ–spaces and the special Barratt–Priddy–Quillen theorem, J. Reine Angew. Math. 760 (2020) 229 MR4069891
5	D C Cisinski, I Moerdijk, Dendroidal sets as models for homotopy operads, J. Topol. 4 (2011) 257 MR2805991
6	D C Cisinski, I Moerdijk, Dendroidal Segal spaces and ∞–operads, J. Topol. 6 (2013) 675 MR3100887
7	A Connes, Cohomologie cyclique et foncteurs Extⁿ, C. R. Acad. Sci. Paris Sér. I Math. 296 (1983) 953 MR777584
8	G C Drummond-Cole, P Hackney, Dwyer–Kan homotopy theory for cyclic operads, preprint (2018) arXiv:1809.06322
9	T Dyckerhoff, Higher categorical aspects of Hall algebras, from: "Building bridges between algebra and topology" (editors D Herbera, W Pitsch, S Zarzuela), Springer (2018) 1 MR3793857
10	T Dyckerhoff, M Kapranov, Triangulated surfaces in triangulated categories, J. Eur. Math. Soc. 20 (2018) 1473 MR3801819
11	T Dyckerhoff, M Kapranov, Higher Segal spaces, 2244, Springer (2019) MR3970975
12	M Feller, R Garner, J Kock, M U Proulx, M Weber, Every 2–Segal space is unital, preprint (2019) arXiv:1905.09580
13	I Gálvez-Carrillo, J Kock, A Tonks, Decomposition spaces, incidence algebras and Möbius inversion I : Basic theory, Adv. Math. 331 (2018) 952 MR3804694
14	I Gálvez-Carrillo, J Kock, A Tonks, Decomposition spaces, incidence algebras and Möbius inversion, II : Completeness, length filtration, and finiteness, Adv. Math. 333 (2018) 1242 MR3818099
15	I Gálvez-Carrillo, J Kock, A Tonks, Decomposition spaces, incidence algebras and Möbius inversion, III : The decomposition space of Möbius intervals, Adv. Math. 334 (2018) 544 MR3828744
16	E Getzler, M M Kapranov, Cyclic operads and cyclic homology, from: "Geometry, topology, & physics" (editor S T Yau), Conf. Proc. Lecture Notes Geom. Topology 4, International (1995) 167 MR1358617
17	P Hackney, M Robertson, D Yau, Higher cyclic operads, Algebr. Geom. Topol. 19 (2019) 863 MR3924179
18	A Joyal, Quasi-categories and Kan complexes, J. Pure Appl. Algebra 175 (2002) 207 MR1935979
19	A Joyal, Notes on quasicategories, unpublished manuscript (2008)
20	A Joyal, J Kock, Feynman graphs, and nerve theorem for compact symmetric multicategories (extended abstract), Electon. Notes Theor. Comp. Sci. 270 (2011) 105
21	M Kontsevich, Y Soibelman, Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson–Thomas invariants, Commun. Number Theory Phys. 5 (2011) 231 MR2851153
22	J Lurie, Higher topos theory, 170, Princeton Univ. Press (2009) MR2522659
23	J Lurie, Higher algebra, book project (2017)
24	J P May, The geometry of iterated loop spaces, 271, Springer (1972) MR0420610
25	I Moerdijk, I Weiss, Dendroidal sets, Algebr. Geom. Topol. 7 (2007) 1441 MR2366165
26	D G Quillen, Homotopical algebra, 43, Springer (1967) MR0223432
27	C Rezk, A model for the homotopy theory of homotopy theory, Trans. Amer. Math. Soc. 353 (2001) 973 MR1804411
28	E Riehl, D Verity, The theory and practice of Reedy categories, Theory Appl. Categ. 29 (2014) 256 MR3217884
29	G Segal, Categories and cohomology theories, Topology 13 (1974) 293 MR353298
30	W H Stern, 2–Segal objects and algebras in spans, preprint (2019) arXiv:1905.06671
31	B Toën, Derived Hall algebras, Duke Math. J. 135 (2006) 587 MR2272977
32	F Waldhausen, Algebraic K–theory of spaces, from: "Algebraic and geometric topology" (editors A Ranicki, N Levitt, F Quinn), Lecture Notes in Math. 1126, Springer (1985) 318 MR802796