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math.GT2008
A simple formula for the Casson-Walker invariant
Sergei Matveev, Michael Polyak
Gauss diagram formulas are extensively used to study Vassiliev link invariants. Now we apply this approach to invariants of 3-manifolds, considering manifolds given by surgery on f…
math.GT2008★ 20 cited
Elementary combinatorics of the HOMFLYPT polynomial
Sergei Chmutov, Michael Polyak
We explore Jaeger's state model for the HOMFLYPT polynomial. We reformulate this model in the language of Gauss diagrams and use it to obtain Gauss diagram formulas for a two-param…