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Assuming a conjecture about factorization homology with adjoints, we prove the cobordism hypothesis, after Baez-Dolan, Costello, Hopkins-Lurie, and Lurie.
Weyl, Hermann. On the volumes of tubes. Amer. J. Math. 61 (1939), 461–472
1939
Earlier work this paper cites.
Allendoerfer, Carl; Weil, André. The Gauss–Bonnet theorem for Riemannian polyhedra. Trans. Amer. Math. Soc. 53 (1943), 101–129
1943
Earlier work this paper cites.
Smale, Stephen. Generalized Poincaré’s conjecture in dimensions greater than four. Ann. of Math. (2) 74 (1961), 391–406
1961
Earlier work this paper cites.
Boardman, J. Michael; Vogt, Rainer. Homotopy invariant algebraic structures on topological spaces. Lecture Notes in Mathematics, Vol. 347. Springer-Verlag, Berlin-New York, 1973. x+257 pp
1973
Earlier work this paper cites.
Atiyah, Michael. Topological quantum field theories. Inst. Hautes Études Sci. Publ. Math. No. 68 (1988), 175–186 (1989)
1989
Earlier work this paper cites.
Reshetikhin, Nicolai; Turaev, Vladimir. Ribbon graphs and their invariants derived from quantum groups. Comm. Math. Phys. 127 (1990), no. 1, 1–26
1990
Earlier work this paper cites.
Reshetikhin, Nicolai; Turaev, Vladimir. Invariants of 3-manifolds via link polynomials and quantum groups. Invent. Math. 103 (1991), no. 3, 547–597
1991
Earlier work this paper cites.
Crane, Louis; Yetter, David. A categorical construction of 4D topological quantum field theories. Quantum topology, 120–130, Ser. Knots Everything, 3, World Sci. Publ., River Edge, NJ, 1993
1993
Earlier work this paper cites.
Freed, Daniel. Extended structures in topological quantum field theory. Quantum topology, 162–173, Ser. Knots Everything, 3, World Sci. Publ., River Edge, NJ, 1993
1993
Earlier work this paper cites.
Lawrence, Ruth. Triangulations, categories and extended topological field theories. Quantum topology, 191–208, Ser. Knots Everything, 3, World Sci. Publ., River Edge, NJ, 1993
1993
Earlier work this paper cites.
Crane, Louis; Frenkel, Igor. Four dimensional topological quantum field theory, Hopf categories, and the canonical bases. Journal of Mathematical Physics, 35. 5136–5154, 1994
1994
Earlier work this paper cites.
Freed, Daniel. Higher algebraic structures and quantization. Comm. Math. Phys. 159 (1994), no. 2, 343–398
1994
Earlier work this paper cites.
Kapranov, Mikhail; Voevodsky, Vladimir. Braided monoidal 2-categories and Manin–Schechtman higher braid groups. J. Pure Appl. Algebra 92 (1994), no. 3, 241–267
1994
Earlier work this paper cites.
Baez, John; Dolan, James. Higher-dimensional algebra and topological quantum field theory. J. Math. Phys. 36 (1995), no. 11, 6073–6105
1995
Earlier work this paper cites.
Tillmann, Ulrike. The classifying space of the ( 1 + 1 ) (1+1) -dimensional cobordism category. J. Reine Angew. Math. 479 (1996), 67–75
1996
Cited alongside, same era.
Joyal, André. Disks, duality and Theta-categories. Unpublished work, 1997
1997
Cited alongside, same era.
Milnor, John. Topology from the differentiable viewpoint. Based on notes by David W. Weaver. Revised reprint of the 1965 original. Princeton Landmarks in Mathematics. Princeton University Press, Princeton, NJ, 1997
1997
Cited alongside, same era.
Rezk, Charles. A model for the homotopy theory of homotopy theory. Trans. Amer. Math. Soc. 353 (2001), no. 3, 973–1007
2001
Cited alongside, same era.
Joyal, André. Quasi-categories and Kan complexes. Special volume celebrating the 70th birthday of Professor Max Kelly. J. Pure Appl. Algebra 175 (2002), no. 1-3, 207–222
2002
Rezk, Charles. A Cartesian presentation of weak n n -categories. Geom. Topol. 14 (2010), no. 1, 521–571
2010
Later among the works it cites.
Segal, Graeme. Locality of holomorphic bundles, and locality in quantum field theory. The many facets of geometry, 164–176, Oxford Univ. Press, Oxford, 2010
2010
Later among the works it cites.
Simpson, Carlos. Homotopy theory of higher categories, New Mathematical Monographs, no. 19, Cambridge University Press, 2011
2011
Later among the works it cites.
Eliashberg, Yakov; Mishachev, Nikolai. The space of framed functions is contractible. Essays in mathematics and its applications, 81–109, Springer, Heidelberg, 2012
2012
Later among the works it cites.
Barwick, Clark; Schommer-Pries, Christopher. On the unicity of the homotopy theory of higher categories. Preprint, 2013
2013
Later among the works it cites.
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Cited alongside, same era.
Beilinson, Alexander; Drinfeld, Vladimir. Chiral algebras. American Mathematical Society Colloquium Publications, 51. American Mathematical Society, Providence, RI, 2004
2004
Cited alongside, same era.
Segal, Graeme. The definition of conformal field theory. Topology, geometry and quantum field theory, 421–577, London Math. Soc. Lecture Note Ser., 308, Cambridge Univ. Press, Cambridge, 2004
2004
Cited alongside, same era.
Berger, Clemens. Iterated wreath product of the simplex category and iterated loop spaces. Adv. Math. 213 (2007), no. 1, 230–270
2007
Cited alongside, same era.
Costello, Kevin. Topological conformal field theory and Calabi–Yau categories. Adv. Math. 210 (2007), no. 1, 165–214
2007
Cited alongside, same era.
Galatius, Søren; Madsen, Ib; Tillmann, Ulrike; Weiss, Michael. The homotopy type of the cobordism category. Acta Math. 202 (2009), no. 2, 195–239
2009
Cited alongside, same era.
Lurie, Jacob. Higher topos theory. Annals of Mathematics Studies, 170. Princeton University Press, Princeton, NJ, 2009. xviii+925 pp
2009
Cited alongside, same era.
Lurie, Jacob. On the classification of topological field theories. Current developments in mathematics, 2008, 129–280, Int. Press, Somerville, MA, 2009
2009
Cited alongside, same era.
Bergner, Julia; Rezk, Charles. Comparison of models for ( ∞ , n ) (\oo,n) -categories, I. Geom. Topol. 17 (2013), no. 4, 2163–2202
2013
Later among the works it cites.
Freed, Daniel. The cobordism hypothesis. Bull. Amer. Math. Soc. (N.S.) 50 (2013), no. 1, 57–92
2013
Later among the works it cites.
Juer, R.; Tillmann, U. Localisations of cobordism categories and invertible TFTs in dimension two. Homology Homotopy Appl. 15 (2013), no. 2, 195–225
2013
Later among the works it cites.
Ayala, David; Francis, John. Factorization homology of topological manifolds. J. Topol. 8 (2015), no. 4, 1045–1084
2015
Later among the works it cites.
Ayala, David; Francis, John; Rozenblyum, Nick. Factorization homology I: higher categories. Preprint, 2015
2015
Later among the works it cites.
Gepner, David; Haugseng, Rune. Enriched ∞ \oo -categories via non-symmetric ∞ \oo -operads. Adv. Math. 279 (2015), 575–716
2015
Later among the works it cites.
Lurie, Jacob. Higher algebra. Preprint, 2016
2016
Later among the works it cites.
Ayala, David; Francis, John. Fibrations of ∞ \oo -categories. Preprint, 2017
2017
Closest in time.
Ayala, David; Francis, John; Tanaka, Hiro Lee. Local structures on stratified spaces. Adv. Math. 307 (2017), 903–1028
2017
Closest in time.