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1
D Ben-Zvi , J
Francis , D Nadler , Integral
transforms and Drinfeld centers in derived algebraic
geometry , J. Amer. Math. Soc. 23 (2010) 909 MR2669705
2
M Benini , A
Schenkel , L Woike , Operads for algebraic quantum
field theory , preprint (2017) arXiv:1709.08657
3
C Berger , I
Moerdijk , Resolution of coloured
operads and rectification of homotopy algebras , 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) 31 MR2342815
4
J M Boardman ,
R M Vogt , Homotopy-everything
H –spaces , Bull. Amer.
Math. Soc. 74 (1968) 1117 MR236922
5
J M Boardman ,
R M Vogt , Homotopy invariant
algebraic structures on topological spaces , 347,
Springer (1973) MR0420609
6
G E Bredon ,
Topology
and geometry , 139, Springer (1993) MR1224675
7
D Calaque , C
Scheimbauer , A note on the
( ∞ ,n ) –category of cobordisms , Algebr. Geom.
Topol. 19 (2019) 533 MR3924174
8
A Clebsch , Zur Theorie der
Riemann’schen Fläche , Math. Ann. 6 (1873) 216 MR1509816
9
P Deligne , D
Mumford , The irreducibility of the
space of curves of given genus , Inst. Hautes Études
Sci. Publ. Math. 36 (1969) 75 MR262240
10
J S Ellenberg ,
A Venkatesh , C Westerland , Homological
stability for Hurwitz spaces and the Cohen–Lenstra conjecture
over function fields , Ann. of Math. 183 (2016) 729
MR3488737
11
P Etingof , D
Nikshych , V Ostrik , Fusion categories and homotopy
theory , Quantum Topol. 1 (2010) 209 MR2677836
12
B Fresse , Homotopy
of operads and Grothendieck–Teichmüller groups, I : The
algebraic theory and its topological background , 217, Amer.
Math. Soc. (2017) MR3643404
13
S Galatius , U
Tillmann , I Madsen , M Weiss , The homotopy type
of the cobordism category , Acta Math. 202 (2009) 195
MR2506750
14
C Galindo , Coherence for
monoidal G –categories and braided
G –crossed categories , J.
Algebra 487 (2017) 118 MR3671186
15
S Gelaki , D
Naidu , D Nikshych , Centers of graded
fusion categories , Algebra Number Theory 3 (2009) 959
MR2587410
16
E Getzler , Batalin–Vilkovisky
algebras and two-dimensional topological field
theories , Comm. Math. Phys. 159 (1994) 265 MR1256989
17
S Hollander ,
A
homotopy theory for stacks , Israel J. Math. 163 (2008)
93 MR2391126
18
A Hurwitz , Ueber Riemann’sche Flächen
mit gegebenen Verzweigungspunkten , Math. Ann. 39 (1891)
1 MR1510692
19
M Kapranov , V
Voevodsky , Braided monoidal
2 –categories and Manin–Schechtman
higher braid groups , J. Pure Appl. Algebra 92 (1994)
241 MR1266348
20
R M Kaufmann ,
Orbifold
Frobenius algebras, cobordisms and monodromies , from:
"Orbifolds in mathematics and physics" (editors A Adem, J
Morava, Y Ruan), Contemp. Math. 310, Amer. Math. Soc. (2002)
135 MR1950945
21
A Kirillov Jr , On
G –equivariant modular
categories , preprint (2004) arXiv:math/0401119v1
22
J Maier , T
Nikolaus , C Schweigert , Equivariant
modular categories via Dijkgraaf–Witten theory , Adv.
Theor. Math. Phys. 16 (2012) 289 MR3019407
23
M Müger , Galois
extensions of braided tensor categories and braided crossed
G –categories , J. Algebra
277 (2004) 256 MR2059630
24
L Müller , L
Woike , Equivariant higher
Hochschild homology and topological field theories ,
Homology Homotopy Appl. 22 (2020) 27 MR4013454
25
L Müller , L
Woike , Parallel transport
of higher flat gerbes as an extended homotopy quantum field
theory , J. Homotopy Relat. Struct. 15 (2020) 113
MR4062881
26
E Riehl , Categorical homotopy
theory , 24, Cambridge Univ. Press (2014) MR3221774
27
C Schweigert , L
Woike , Extended homotopy
quantum field theories and their orbifoldization , J.
Pure Appl. Algebra 224 (2020) MR4021927
28
C H Taubes ,
Differential
geometry: bundles, connections, metrics and curvature ,
23, Oxford Univ. Press (2011) MR3135161
29
R W Thomason ,
Homotopy
colimits in the category of small categories , Math.
Proc. Cambridge Philos. Soc. 85 (1979) 91 MR510404
30
V Turaev , Homotopy
field theory in dimension 3 and
crossed group-categories , preprint (2000) arXiv:math/0005291
31
V Turaev , Homotopy quantum field
theory , 10, Eur. Math. Soc. (2010) MR2674592
32
V Turaev , A
Virelizier , On 3 –dimensional homotopy quantum field theory,
I , Internat. J. Math. 23 (2012) MR2959440
33
V Turaev , A
Virelizier , On 3 –dimensional homotopy quantum field theory, II
: The surgery approach , Internat. J. Math. 25 (2014)
MR3195545
34
D Yau , Colored
operads , 170, Amer. Math. Soc. (2016) MR3444662
35
D Yau , Homotopical
quantum field theory , preprint (2018) arXiv:1802.08101v1