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Showing 1 to 4 of 4 for “"toric variety"”.
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Logarithmic Gromov-Witten theory and double ramification cycles
… concern the logarithmic enumerative geometry of toric varieties and its interactions with the moduli space of curves. In the first paper (joint work with Dhruv Ranganathan), we prove that the logarithmic Gromov-Witten cycles of a toric variety endowed with its toric log structure lie in the …
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Toric mirror symmetry and GIT windows
… joint work [HZ20], studies mirror symmetry for toric varieties from the perspective of geometric invariant theory. We translate GIT constructions of toric varieties into skeletal terms and study them in the context of wrapped Fukaya categories and wrapped constructible sheaves. We explain how …
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Enumerative invariants for local Calabi-Yau threefolds
This thesis consists of three parts. In the first part, we compute the topological Euler characteristics of the moduli spaces of stable sheaves of dimension one on the total space of rank 2 bundle on P1 whose determinant is O(−2). We count the torus fixed stable sheaves of low degrees and show the …