4 papers
Global Kuranishi charts and a product formula in symplectic Gromov-Witten theory
Amanda Hirschi, Mohan Swaminathan
We construct global Kuranishi charts for the moduli spaces of stable pseudoholomorphic maps to a closed symplectic manifold in all genera. This is used to prove a product formula f…
Bifurcations of embedded curves and towards an extension of Taubes' Gromov invariant to Calabi-Yau 3-folds
Shaoyun Bai, Mohan Swaminathan
We define an integer-valued virtual count of embedded pseudo-holomorphic curves of two times a primitive homology class and arbitrary genus in symplectic Calabi--Yau -folds, whi…
Quantitative Gromov Compactness
Mohan Swaminathan
We establish a quantitative version of the Gromov compactness theorem for closed genus 0 pseudoholomorphic curves in the setting of a tamed almost complex manifold with bounded geo…
Rel-- Structures on Gromov-Witten Moduli Spaces
Mohan Swaminathan
We show that moduli spaces of transversely cut-out (perturbed) pseudo-holomorphic curves in an almost complex manifold carry canonical relative smooth structures ("relative to the…