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A. Buryak

Publications and source records attributed to A. Buryak.

20 records · Page 2Linked to original sources

A remark on deformations of Hurwitz Frobenius manifolds

In this note we use the formalism of multi-KP hierarchies in order to give some general formulas for infinitesimal deformations of solutions of the Darboux-Egoroff system. As an application, we explain how Shramchenko's deformations of Frobenius manifold structures on Hurwitz spaces fit into the general formalism of Givental-van de Leur twisted loop group action on the space of semi-simple Frobenius manifolds.

math-ph↗

A new proof of Faber's intersection number conjecture

We give a new proof of Faber's intersection number conjecture concerning the top intersections in the tautological ring of the moduli space of curves $\M_g$. The proof is based on a very straightforward geometric and combinatorial computation with double ramification cycles.

math.AG↗