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Gauss-Manin Connection in Disguise: Holomorphic Anomaly Equations and Higher Genus Real Gromov-Witten Invariants
Felipe Espreafico
We construct an algebraic framework for the extended holomorphic anomaly equations following ideas of Alim, Movasati, Scheidegger and Yau. We choose the quintic threefold as our ma…
Quadratic Segre indices
Felipe Espreafico, Stephen McKean, Sabrina Pauli
We prove that the local Euler class of a line on a degree hypersurface in projective space is given by a product of indices of Segre involutions. Segre involutions and…
On Motivic and Arithmetic Refinements of Donaldson-Thomas invariants
Felipe Espreafico, Johannes Walcher
In recent years, a version of enumerative geometry over arbitrary fields has been developed and studied by Kass-Wickelgren, Levine, and others, in which the counts obtained are not…
Gauss-Manin connection in disguise: Open Gromov-Witten invariants
Felipe Espreafico
In mirror symmetry, after the work by J. Walcher, the number of holomorphic disks with boundary on the real quintic lagrangian in a general quintic threefold is related to the peri…