Real enumerative invariants relative to the toric boundary and their refinement

Published 12 Jan 2024 in math.AG | (2401.06718v2)

Abstract: We introduce new invariants of a class of toric surfaces (including the projective plane) that arise from appropriate enumeration of real curves of genus one and two. These invariants admit a refinement similar to the one introduced by Grigory Mikhalkin in the rational case.

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Blomme, T.: A Caporaso-Harris type formula for relative refined invariants. Preprint at arXiv:1912.06453.

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