108 citations · 183 across the 7 of their papers we have counts for
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NSR superstring measures in genus 5
Petr Dunin-Barkowski, Alexey Sleptsov, Abel Stern
Currently there are two proposed ansatze for NSR superstring measures: the Grushevsky ansatz and the OPSMY ansatz, which for genera g<=4 are known to coincide. However, neither the…
Kontsevich integral for knots and Vassiliev invariants
Petr Dunin-Barkowski, Alexey Sleptsov, Andrey Smirnov
We review quantum field theory approach to the knot theory. Using holomorphic gauge we obtain the Kontsevich integral. It is explained how to calculate Vassiliev invariants and coe…
Explicit computation of Drinfeld associator in the case of the fundamental representation of gl(N)
Petr Dunin-Barkowski, Alexey Sleptsov, Andrey Smirnov
We solve the regularized Knizhnik-Zamolodchikov equation and find an explicit expression for the Drinfeld associator. We restrict to the case of the fundamental representation of $…