Structures in genus-zero relative Gromov--Witten theory
Honglu Fan, Longting Wu, Fenglong You
TL;DR
This paper introduces genus-zero relative Gromov--Witten invariants with negative contact orders, enabling the construction of relative quantum cohomology rings and Givental formalism, along with Virasoro constraints.
Contribution
It defines new genus-zero relative Gromov--Witten invariants with negative contact orders and develops related algebraic structures and constraints.
Findings
Construction of relative quantum cohomology rings
Development of Givental formalism for these invariants
Derivation of Virasoro constraints
Abstract
In this paper, we define genus-zero relative Gromov--Witten invariants with negative contact orders. Using this, we construct relative quantum cohomology rings and Givental formalism. A version of Virasoro constraints also follows from it.
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