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Almost toric presentations of symplectic log Calabi-Yau pairs
Tian-Jun Li, Jie Min, Shengzhen Ning
It is known that the union of fibers over elliptic singularities of an almost toric fibered (ATF) closed symplectic four-manifold forms a symplectic log Calabi-Yau (LCY) divisor. I…
Enumerative aspect of symplectic log Calabi-Yau divisors and almost toric fibrations
Tian-Jun Li, Jie Min, Shengzhen Ning
In this paper we are interested in the isotopy classes of symplectic log Calabi-Yau divisors in a fixed symplectic rational surface. We give several equivalent definitions and prov…
Local geometry of symplectic divisors with applications to contact torus bundles
Tian-Jun Li, Jie Min
In this note we study the contact geometry of symplectic divisors. We show the contact structure induced on the boundary of a divisor neighborhood is invariant under toric and inte…
Circular spherical divisors and their contact topology
Tian-Jun Li, Cheuk Yu Mak, Jie Min
This paper investigates the symplectic and contact topology associated to circular spherical divisors. We classify, up to toric equivalence, all concave circular spherical divisors…