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math.AG2002★ 1 cited
Counting curves via lattice paths in polygons
Grigory Mikhalkin
This note presents a formula for the enumerative invariants of arbitrary genus in toric surfaces. The formula computes the number of curves of a given genus through a collection of…
math.GT2002
Decomposition into pairs-of-pants for complex algebraic hypersurfaces
Grigory Mikhalkin
It is well-known that a Riemann surface can be decomposed into the so-called pairs-of-pants. Each pair-of-pants is diffeomorphic to a Riemann sphere minus 3 points. We show that a…