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Showing 1 to 6 of 6 for “"Gromov-Witten invariants"”.
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Gromov Witten Invariants of Blow Ups of P² using Logarithmic Geometry
We show that Parker’s recursion for computing Gromov-Witten invariants of blow ups of P² can be derived using logarithmic Gromov-Witten theory and punctured maps. We extend the recursion to compute Gromov-Witten invariants with Hodge class insertions.
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Topics in symplectic Gromov–Witten theory
The main focus of this thesis is on the Gromov--Witten theory of general symplectic manifolds. Mohan Swaminathan and I construct a framework to define a virtual fundamental class for the moduli space of stable maps to a general closed symplectic manifold. Our construction, inspired by [AMS21], …
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Quantum cohomology of a Hilbert scheme of a Hirzebruch surface
… to compute all one-pointed and some two-pointed Gromov-Witten invariants via virtual localization, then making intensive use of the associativity law satisfied by quantum product, calculate other Gromov-Witten invariants sufficient for us to determine the structure of quantum cohomology ring of …
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Gross-Siebert Mirror Ring for Smooth log Calabi-Yau Pairs
… paper, we exhibit a formula relating punctured Gromov-Witten invariants used by Gross and Siebert in [GS2] to 2-point relative/logarithmic Gromov-Witten invariants with one point-constraint for any smooth log Calabi-Yau pair (W, D). Denote by Na,b the number of rational curves in W meeting D in …
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Logarithmic Gromov-Witten theory and double ramification cycles
… Ranganathan), we prove that the logarithmic Gromov-Witten cycles of a toric variety endowed with its toric log structure lie in the tautological subring of the moduli space of stable curves. The result gives a common generalization of work of Faber-Pandharipande, and more recent work of …
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Relative Hilbert scheme methods in pseudoholomorphic geometry
… led to the conjecture that DS agrees with the Gromov invariant G[gamma] earlier defined by C. Taubes in his study of Seiberg-Witten theory on symplectic manifolds. Our central result is a proof of this conjecture, which thus makes available new proofs of some results concerning …