16 citations · 69 across the 16 of their papers we have counts for
20 papers
Gromov-Witten invariants in complex and Morava-local -theories
Mohammed Abouzaid, Mark McLean, Ivan Smith
Given a closed symplectic manifold , we construct Gromov-Witten-type invariants valued both in (complex) -theory and in any complex-oriented cohomology theory wh…
Normal Crossings Singularities for Symplectic Topology: Structures
Mohammad Farajzadeh Tehrani, Mark McLean, Aleksey Zinger
Our previous papers introduce topological notions of normal crossings symplectic divisor and variety, show that they are equivalent, in a suitable sense, to the corresponding geome…
Complex cobordism, Hamiltonian loops and global Kuranishi charts
Mohammed Abouzaid, Mark McLean, Ivan Smith
Let be a closed symplectic manifold. A loop of diffeomorphisms of defines a fibration . By applying Gromov-Witten theory t…
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…
The McKay correspondence for isolated singularities via Floer theory
Mark McLean, Alexander F. Ritter
We prove the generalised McKay correspondence for isolated singularities using Floer theory. Given an isolated singularity \C^n/G for a finite subgroup G in SL(n,\C) and any crepan…