Algebraic Properties of Real Gromov-Witten Invariants
Penka Georgieva, Aleksey Zinger
TL;DR
This paper explores the algebraic properties of real Gromov-Witten invariants across all genera, establishing axioms and classical relations similar to those in complex Gromov-Witten theory.
Contribution
It extends the framework of Gromov-Witten invariants to the real case, providing axiomatic and structural insights analogous to complex theory.
Findings
Formulation of axioms for real Gromov-Witten invariants
Derivation of classical equations and reconstruction results
Comparison with complex Gromov-Witten theory
Abstract
We describe properties of the previously constructed all-genus real Gromov-Witten theory in the style of Kontsevich-Manin's axioms and other classical equations and reconstruction results of complex Gromov-Witten theory.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology