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Abstract: This is a seminar about invariants of links coming from representation theory and categorification. We will focus on the Jones polynomial, the WRT invariants, Khovanov--Rozansky homology, triply graded homology and various variations of these varied invariants.
Time: Wednesdays 4-5pm
Location: Math 528
Schedule:
- September 10: Organizational meeting
- September 17: TBA
- September 24*: TBA
- October 1*: TBA
- October 8*: TBA
- October 15*: TBA
- October 22: TBA
- October 29: TBA
- November 5: TBA
- November 12: TBA
- November 19: TBA
- November 26: No Meeting (Thanksgiving)
- December 3: TBA
References:
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Vaughan Jones.
A polynomial invariant for knots via von Neumann algebras.
Link.
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Vaughan Jones.
Hecke algebra representations of braid groups and link polynomials.
Link.
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Louis Kauffman.
State models and the Jones polynomial.
Link.
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Nicolai Reshetikhin and Vladimir Turaev.
Ribbon graphs and their invariants derived from quantum groups.
Link.
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Nicolai Reshetikhin and Vladimir Turaev.
Invariants of 3-manifolds via link polynomials and quantum groups.
Link.
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Robion Kirby and Paul Melvin.
The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl(2,C).
Link.
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