115 citations · 241 across the 11 of their papers we have counts for
4 papers · 1 filter
Rational equivalence and Lagrangian tori on K3 surfaces
Nick Sheridan, Ivan Smith
Fix a symplectic K3 surface X homologically mirror to an algebraic K3 surface Y by an equivalence taking a graded Lagrangian torus L in X to the skyscraper sheaf of a point y of Y.…
The Gamma and Strominger-Yau-Zaslow conjectures: a tropical approach to periods
Mohammed Abouzaid, Sheel Ganatra, Hiroshi Iritani +1
We propose a new method to compute asymptotics of periods using tropical geometry, in which the Riemann zeta values appear naturally as error terms in tropicalization. Our method s…
Lagrangian cobordism and tropical curves
Nick Sheridan, Ivan Smith
We study a cylindrical Lagrangian cobordism group for Lagrangian torus fibres in symplectic manifolds which are the total spaces of smooth Lagrangian torus fibrations. We use ideas…
Versality in mirror symmetry
Nick Sheridan
One of the attractions of homological mirror symmetry is that it not only implies the previous predictions of mirror symmetry (e.g., curve counts on the quintic), but it should in…