4 citations · 4 across the 2 of their papers we have counts for
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Normal Crossings Singularities for Symplectic Topology, II
Mohammad Farajzadeh Tehrani, Mark McLean, Aleksey Zinger
In recent work, we introduced topological notions of simple normal crossings symplectic divisor and variety, showed that they are equivalent, in a suitable sense, to the correspond…
Birational Calabi-Yau manifolds have the same small quantum products
Mark McLean
We show that any two birational projective Calabi-Yau manifolds have isomorphic small quantum cohomology algebras after a certain change of Novikov rings. The key tool used is a ve…
Singularities and Semistable Degenerations for Symplectic Topology
Mohammad Farajzadeh Tehrani, Mark McLean, Aleksey Zinger
We overview our recent work defining and studying normal crossings varieties and subvarieties in symplectic topology. This work answers a question of Gromov on the feasibility of i…
On the symplectic invariance of log Kodaira dimension
Mark McLean
Suppose that A and B are symplectomorphic smooth affine varieties. If A is acylic of dimension 2 then B has the same log Kodaira dimension as A. If the dimension of A is 3, has log…
Lefschetz fibrations and symplectic homology
Mark McLean
We show that for each k > 3 there are infinitely many finite type Stein manifolds diffeomorphic to Euclidean space R^{2k} which are pairwise distinct as symplectic manifolds.