CORDIS Project
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This research explores the connections between symplectic geometry and various mathematical fields, focusing on moduli spaces of pseudo-holomorphic maps. The goal is to establish new theoretical frameworks that enhance understanding of complex mathematical relationships in physics.
This proposal focuses on establishing new relations between natural objects in symplectic geometry with other fields of mathematics including knot and representation theory and the theory of integrable systems.
All of these relations are motivated by theoretical physics.
The main objects of study are moduli spaces of pseudo-holomorphic maps giving rise to real and open Gromov-Witten invariants.
The classical Gromov-Witten invariants were introduced by Gromov at the birth of symplectic topol…
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