Algebraic & Geometric Topology Volume 17, issue 2 (2017)

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Spin, statistics, orientations, unitarity

Theo Johnson-Freyd

Algebraic & Geometric Topology 17 (2017) 917–956

DOI: 10.2140/agt.2017.17.917

Bibliography

1	M Atiyah, Topological quantum field theories, Inst. Hautes Études Sci. Publ. Math. 68 (1988) 175 MR1001453
2	D Ayala, Geometric cobordism categories, PhD thesis, Stanford University (2009) MR2713365
3	D Ayala, J Francis, Factorization homology of topological manifolds, J. Topol. 8 (2015) 1045 MR3431668
4	J C Baez, J Dolan, From finite sets to Feynman diagrams, from: "Mathematics unlimited—2001 and beyond" (editors B Engquist, W Schmid), Springer (2001) 29 MR1852152
5	G J Bird, Limits in 2–categories of locally presentable categories, PhD thesis, University of Sydney (1984)
6	M Brandenburg, A Chirvasitu, T Johnson-Freyd, Reflexivity and dualizability in categorified linear algebra, Theory Appl. Categ. 30 (2015) 808 MR3361309
7	D Calaque, C Scheimbauer, A note on the (∞,n)–category of cobordisms, preprint (2015) arXiv:1509.08906
8	A Chirvasitu, T Johnson-Freyd, The fundamental pro-groupoid of an affine 2–scheme, Appl. Categ. Structures 21 (2013) 469 MR3097055
9	P Deligne, Catégories tensorielles, Mosc. Math. J. 2 (2002) 227 MR1944506
10	C L Douglas, C Schommer-Pries, N Snyder, The balanced tensor product of module categories, preprint (2014) arXiv:1406.4204
11	S Eilenberg, Abstract description of some basic functors, J. Indian Math. Soc. 24 (1960) 231 MR0125148
12	D S Freed, M J Hopkins, Reflection positivity and invertible topological phases, preprint (2016) arXiv:1604.06527
13	N Ganter, M Kapranov, Symmetric and exterior powers of categories, Transform. Groups 19 (2014) 57 MR3177367
14	R Haugseng, Iterated spans and “classical” topological field theories, preprint (2014) arXiv:1409.0837
15	M Kapranov, Supergeometry in mathematics and physics, preprint (2015) arXiv:1512.07042
16	G M Kelly, Basic concepts of enriched category theory, 64, Cambridge University Press (1982) 245 MR651714
17	A Kleshchev, Linear and projective representations of symmetric groups, 163, Cambridge University Press (2005) MR2165457
18	L G Lewis Jr., When projective does not imply flat, and other homological anomalies, Theory Appl. Categ. 5 (1999) 202 MR1711565
19	D Li-Bland, The stack of higher internal categories and stacks of iterated spans, preprint (2015) arXiv:1506.08870
20	J Lurie, On the classification of topological field theories, from: "Current developments in mathematics" (editors D Jerison, B Mazur, T Mrowka, W Schmid, R Stanley, S T Yau), Int. Press (2009) 129 MR2555928
21	V Ostrik, On symmetric fusion categories in positive characteristic, preprint (2015) arXiv:1503.01492
22	C J Schommer-Pries, The classification of two-dimensional extended topological field theories, PhD thesis, University of California, Berkeley (2009) MR2713992
23	G Segal, The definition of conformal field theory, from: "Topology, geometry and quantum field theory" (editor U Tillmann), London Math. Soc. Lecture Note Ser. 308, Cambridge University Press (2004) 421 MR2079383
24	S Stolz, P Teichner, Supersymmetric field theories and generalized cohomology, from: "Mathematical foundations of quantum field theory and perturbative string theory" (editors H Sati, U Schreiber), Proc. Sympos. Pure Math. 83, Amer. Math. Soc. (2011) 279 MR2742432
25	R F Streater, A S Wightman, PCT, spin and statistics, and all that, W A Benjamin (1964) MR0161603
26	C E Watts, Intrinsic characterizations of some additive functors, Proc. Amer. Math. Soc. 11 (1960) 5 MR0118757