26 citations · 59 across the 9 of their papers we have counts for
14 papers
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…
Limits of stable maps in a semi-stable degeneration
Mohammad Farajzadeh Tehrani
Given a semistable degeneration with a simple normal crossings central fiber, Abramovich-Chen-Gross-Siebert [3] proved a degeneration formula that relates the moduli spaces of stab…
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…
Gromov-Witten theory via Kuranishi structures
Mohammad Farajzadeh Tehrani, Kenji Fukaya
In this expository manuscript, we review the construction of Gromov-Witten virtual fundamental class via FOOO's theory of Kuranishi structures for moduli spaces of pseudo-holomorph…
On the Refined Symplectic Sum Formula for Gromov-Witten Invariants
Mohammad F. Tehrani, Aleksey Zinger
We describe the extent to which Ionel-Parker's proposed refinement of the standard relative Gromov-Witten invariants sharpens the usual symplectic sum formula. The key product oper…
On the Rim Tori Refinement of Relative Gromov-Witten Invariants
Mohammad F. Tehrani, Aleksey Zinger
We construct Ionel-Parker's proposed refinement of the standard relative Gromov-Witten invariants in terms of abelian covers of the symplectic divisor and discuss in what sense it…