The DOI matches its Crossref record; 25 of the 25 references it cites were found in a registry or an index.
A functor-valued invariant of tangles
Open accessAbstract
We construct a family of rings.To a plane diagram of a tangle we associate a complex of bimodules over these rings.Chain homotopy equivalence class of this complex is an invariant of the tangle.On the level of Grothendieck groups this invariant descends to the Kauffman bracket of the tangle.When the tangle is a link, the invariant specializes to the bigraded cohomology theory introduced in our earlier work.
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Cites
Quantum field theory and the Jones polynomial
Witten, E. (1989) · Communications in Mathematical Physics · doi:10.1007/bf01217730 · Cited by 4,758
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“ween derived categories of sheaves on X(n) Algebraic & Geometric Topology, Volume 2 (2002) A functor-valued invariant of tangles 733 and X(s in) (for real flag varieties this is Exercise III.15 in [33]). Denote by Xe the disjoint union of X(m),over all possible permutations m of n.For each i,1 ≤i≤k−1,we get a funct…”
BackgroundHomological Algebra of Mirror Symmetry
Kontsevich, M. (1995) · Birkhäuser Basel eBooks · doi:10.1007/978-3-0348-9078-6_11 · Cited by 1,115
Topological gauge theories and group cohomology
Dijkgraaf, R., & Witten, E. (1990) · Communications in Mathematical Physics · doi:10.1007/bf02096988 · Cited by 1,106
Topological quantum field theory
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Cited by
Matrix factorizations and link homology
Khovanov, M., & Rozansky, L. (2008) · Fundamenta Mathematicae · doi:10.4064/fm199-1-1 · Cited by 530
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Metadata
- Authors
- Khovanov, M.
- Venue
- Algebraic & Geometric Topology
- Publisher
- Mathematical Sciences Publishers
- Published
- 2002-09-06
- Volume
- 2
- Issue
- 2
- Pages
- 665-741
- ISSN
- 1472-2739 (ISSN-L)
- 1472-2747
- OpenAlex
- W2016270404
- Cited by
- 270
- References
- 25
- FWCI
- 13.32
- Type
- journal article
- Language
- en
- Open access
- bronze
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