Spherical 2-categories and 4-manifold invariants

Spherical 2-categories and 4-manifold invariants (1999)

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by Marco Mackaay

Venue:	ADV. MATH
Citations:	22 - 7 self

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@ARTICLE{Mackaay99spherical2-categories,
    author = {Marco Mackaay},
    title = {Spherical 2-categories and 4-manifold invariants},
    journal = {ADV. MATH},
    year = {1999}
}

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Citations

116	Higher-Dimensional Algebra and Topological Quantum Field Theory - Baez, Dolan - 1995
88	Four-dimensional topological quantum field theory, Hopf categories, and the canonical basis - Crane, Frenkel - 1994
78	2-Categories and Zamolodchikov Tetrahedra Equations - Kapranov, Voevodsky - 1994
70	Higher-Dimensional Algebra III: n-Categories and the Algebra of Opetopes - Baez, Dolan
69	Braided Compact Closed Categories with Applications to Low Dimensional Topology - Freyd, Yetter - 1989
49	Higher-Dimensional Algebra I: Braided Monoidal 2-Categories - Baez, Neuchl - 1996
49	Homeomorphic Manifolds are Equivalent by Elementary Shellings - Pachner, L - 1991
37	Higher-Dimensional Algebra II: 2-Hilbert Spaces - Baez - 1997
35	Involutory Hopf algebras and 3–manifold invariants, Int - Kuperberg - 1991
33	A Categorical Construction of 4D Topological Quantum Field Theories - Crane, Yetter - 1993
30	Higher-Dimensional Algebra IV: 2-Tangles - Baez, Langford
28	Invariants of Piecewise-Linear 3-Manifolds - Barrett, Westbury - 1996
23	Skein Theory and Turaev-Viro Invariants, Topology 34 - Roberts - 1995
22	A Combinatorial Description of Knotted Surfaces and Their - Carter, Rieger, et al. - 1997
19	Spherical Categories - Barrett, Westbury - 1993
12	State-Sum Invariants of 3-Manifolds Associated to Artinian Semisimple Tortile Categories - Yetter - 1994
11	Representation Theory of Hopf Categories - Neuchl - 1997
9	2-Tangles as a Free Braided Monoidal 2-category with Duals - Langford - 1997
8	The Equality of 3-Manifold Invariants - Barrett, Westbury - 1995
8	On the Definition of the 2-category of 2-Knots - Kharlamov, Turaev - 1996
6	The Structure of Topological Field Theories in Three Dimensions - Chung, Fukama, et al. - 1994
4	Deformations of (Bi)tensor Categories - Crane, Yetter
3	Examples of Categorification - Crane, Yetter
1	Their Algebraic Interpretations, to appear in Matematica Contemporanea, Sociedade Brasileira de Matematica. Available at http://www.math.usf.edu/∼saito/home/html - Carter, Kauffman, et al.
1	Talks given by Carter and Saito at the AMSconference at - Carter, Kauffman, et al. - 1998
1	2-Categories and 2-Knots - Fisher - 1994
1	State Sum Invariants of 3-Manifolds and - Turaev, Viro - 1992