An endomorphism of the Khovanov invariant
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We construct an endomorphism of the Khovanov invariant to prove H-thinness and pairing phenomena of the invariants for alternating links. As a consequence, it follows that the Khovanov invariant of an oriented nonsplit alternating link is determined by its Jones polynomial, signature, and the linking numbers of its components.
To appear in Adv. Math.; Brief summary of Khovanov invariant (math.QA/9908171) and previous result of the author (math.GT/0201105) added
- Massachusetts Institute of Technology United States
- Massachusetts Institute of Technology Dept. of Economics United States
Khovanov invariant, Mathematics(all), H-thin, Geometric Topology (math.GT), Invariants of knots and \(3\)-manifolds, Jones polynomial, alternating knot, Alternating links, Mathematics - Geometric Topology, 57M27, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), signature
Khovanov invariant, Mathematics(all), H-thin, Geometric Topology (math.GT), Invariants of knots and \(3\)-manifolds, Jones polynomial, alternating knot, Alternating links, Mathematics - Geometric Topology, 57M27, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), signature
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