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We show that all extended functorial field theories, both topological and nontopological, are local.
1912
Earlier work this paper cites.
Albert Nijenhuis. Geometric aspects of formal differential operations on tensor fields. Proceedings of the International Congress of Mathematicians 1958, 463–469. https://www.mathunion.org/fileadmin/ICM/Proceedings/ICM1958/ICM1958.ocr.pdf
1958
Earlier work this paper cites.
John Milnor. Morse Theory. Annals of Mathematics Studies 51 (1969). JSTOR:j.ctv3f8rb6
1969
Earlier work this paper cites.
Brian J. Day. Construction of biclosed categories. PhD thesis. School of Mathematics, University of New South Wales (1970). doi:10.26190/unsworks/8048
1970
Earlier work this paper cites.
Aldridge K. Bousfield, Daniel M. Kan. Homotopy limits, completions and localizations. Lecture Notes in Mathematics 304 (1972). doi:10.1007/978-3-540-38117-4
1972
Earlier work this paper cites.
Graeme Segal. Categories and cohomology theories. Topology 13:3 (1974), 293–312. doi:10.1016/0040-9383(74)90022-6
1974
Earlier work this paper cites.
Aldridge K. Bousfield, Eric M. Friedlander. Homotopy theory of Γ Γ -spaces, spectra, and bisimplicial sets. Lecture Notes in Mathematics 658 (1978), 80–130. doi:10.1007/bfb0068711
1978
Earlier work this paper cites.
William G. Dwyer, Daniel M. Kan. Function complexes for diagrams of simplicial sets. Indagationes Mathematicae (Proceedings) 86:2 (1983), 139–147. doi:10.1016/1385-7258(83)90051-3
1983
Earlier work this paper cites.
Michael Atiyah. Topological quantum field theories. Publications Mathématiques de l’IHÉS, 68 (1988), 175–186. doi:10.1007/bf02698547
1988
Earlier work this paper cites.
Ieke Moerdijk, Gonzalo E. Reyes. Models for Smooth Infinitesimal Analysis. Springer, 1991. doi:10.1007/978-1-4757-4143-8
1991
Earlier work this paper cites.
Ruth J. Lawrence. Triangulations, categories and extended topological field theories. Quantum topology, 191–208. World Scientific, Series on Knots and Everything 3 (1993). doi:10.1142/9789812796387_0011
1993
Earlier work this paper cites.
Daniel S. Freed. Higher algebraic structures and quantization. Communications in Mathematical Physics 159:2 (1994), 343–398. arXiv:hep-th/9212115v2 , doi:10.1007/bf02102643
1994
Earlier work this paper cites.
John C. Baez, James Dolan. Higher-dimensional algebra and topological quantum field theory. Journal of Mathematical Physics 36:11 (1995), 6073–6105. arXiv:q-alg/9503002v2 , doi:10.1063/1.531236
1995
Earlier work this paper cites.
Paul G. Goerss, John F. Jardine. Simplicial homotopy theory. Progress in Mathematics 174 (1999). doi:10.1007/978-3-0346-0189-4
1999
Earlier work this paper cites.
Mark Hovey. Model categories. Mathematical Surveys and Monographs 63 (1999). doi:10.1090/surv/063
1999
Earlier work this paper cites.
Stefan Schwede. Stable homotopical algebra and Γ Γ -spaces. Mathematical Proceedings of the Cambridge Philosophical Society 126:2 (1999), 329–356. doi:10.1017/s0305004198003272
1999
Earlier work this paper cites.
Charles Rezk. A model for the homotopy theory of homotopy theory. Transactions of the American Mathematical Society 353:3 (2000), 973–1007. arXiv:math/9811037v3 , doi:10.1090/s0002-9947-00-02653-2
2000
Earlier work this paper cites.
Bertrand Toën. Dualité de Tannaka supérieure I: Structures monoidales. June 10, 2000. https://archive.mpim-bonn.mpg.de/id/eprint/912
2000
Earlier work this paper cites.
Philip S. Hirschhorn. Model categories and their localizations. American Mathematical Society. Mathematical Surveys and Monographs 99 (2002). doi:10.1090/surv/099
2002
Earlier work this paper cites.
Daniel Dugger, Daniel C. Isaksen. Weak equivalences of simplicial presheaves. Contemporary Mathematics 346 (2004), 97–113. arXiv:math/0205025v1 , doi:10.1090/conm/346/06292
2004
Cited alongside, same era.
Daniel Dugger, Sharon Hollander, Daniel C. Isaksen. Hypercovers and simplicial presheaves. Mathematical Proceedings of the Cambridge Philosophical Society 136:1 (2004), 9–51. arXiv:math/0205027v2 , doi:10.1017/S0305004103007175
2004
Cited alongside, same era.
Graeme Segal. The definition of conformal field theory. London Mathematical Society Lecture Notes Series 308 (2004), 421–577. doi:10.1017/cbo9780511526398.019
2004
Cited alongside, same era.
Stephan Stolz, Peter Teichner. What is an elliptic object? London Mathematical Society Lecture Note Series 308 (2004), 247–343. doi:10.1017/cbo9780511526398.013
2004
Cited alongside, same era.
2016
Later among the works it cites.
2016
Later among the works it cites.
Jacob Lurie. Higher Topos Theory. April 9, 2017. https://www.math.ias.edu/~lurie/papers/HTT.pdf
2017
Later among the works it cites.
Urs Schreiber. Differential cohomology in a cohesive ∞-topos. Version 2 (August 11, 2017). https://ncatlab.org/schreiber/files/dcct170811.pdf
2017
Later among the works it cites.
Jacob Lurie. Higher Algebra. September 18, 2017. https://www.math.ias.edu/~lurie/papers/HTT.pdf
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