67 citations · 510 across the 48 of their papers we have counts for
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math.AG2022★ 6 cited
Tautological relations and integrable systems
Alexandr Buryak, Sergey Shadrin
We present a family of conjectural relations in the tautological cohomology of the moduli spaces of stable algebraic curves of genus with marked points. A large part of the…
math.AG2022
A formula for the Gromov-Witten potential of an elliptic curve
Alexandr Buryak
An algorithm to determine all the Gromov-Witten invariants of any smooth projective curve was obtained by Okounkov and Pandharipande in 2006. They identified stationary invariants…
math-ph2022★ 2 cited
A construction of open descendant potentials in all genera
Alexander Alexandrov, Alexey Basalaev, Alexandr Buryak
We present a construction of an open analogue of total descendant and total ancestor potentials via an "open version" of Givental's action. Our construction gives a genus expansion…