Open Gromov-Witten theory without Obstruction

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arxiv 1711.05302 v4 pith:IKCI7UMT submitted 2017-11-14 math.SG

Vito Iacovino This is my paper · ORCID

classification math.SG

keywords definedgromov-wittenopenchaincomplexcyclesinvariantsisotopy

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Open Gromov-Witten invariants are defined as cycles of the multi-curve chain complex, well defined up to isotopy.

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Quantum Master Equation and Open Gromov-Witten Theory 2
math.SG 2024-12 reject novelty 6.0 of 10

The paper defines the non-abelian open Gromov-Witten potential and derives a quantum master equation for it, conditional on auxiliary constructions from the author's companion papers.
Quantum Master Equation and Open Gromov-Witten theory
math.SG 2024-12 conditional novelty 5.0 of 10

The higher-genus open-closed Gromov-Witten potential is constructed and shown to solve the quantum master equation up to quantum master isotopy.