activity
20172025
most citedPseudoholomorphic Curves Relative to a Normal Crossings Symplectic Divisor: Compactification

4 citations · 4 across the 9 of their papers we have counts for

collaborators

9 papers

math.AG2025

What is a stable log map?

Mohammad Farajzadeh-Tehrani, Mohan Swaminathan

Let be a smooth projective variety over with a simple normal crossings divisor . We compare the notions of stable log maps to in algebraic geom…

math.GT2025

The Geometric P=W conjecture and Thurston's compactification

Ashwin Ayilliath-Kutteri, Mohammad Farajzadeh-Tehrani, Charles Frohman

In this paper, we use new results together with established facts about Thurston's compactification of Teichmüller space to address the geometric P=W conjecture for $\mathrm{SL}(2,…

math.GT2024

The Kauffman Bracket Skein Module at an irreducible representation

Mohammad Farajzadeh-Tehrani, Charles Frohman, Joanna Kania-Bartoszynska

In this paper, we study the Kauffman bracket skein module of closed oriented three-manifolds at a non-multiple-of-four roots of unity. Our main result establishes that the localiza…

math.AG2023

On compactifications of the SL(2,C) character varieties of punctured surfaces

Mohammad Farajzadeh-Tehrani, Charles Frohman

This paper addresses some conjectures and questions regarding the absolute and relative compactifications of the $\SL(2,\C)$-character variety of an -punctured Riemann surface w…

math.SG2022

BPS invariants of symplectic log Calabi-Yau fourfolds

Mohammad Farajzadeh-Tehrani

Using the Fredholm setup of [12], we study genus zero (and higher) relative Gromov-Witten invariants with maximum tangency of symplectic log Calabi-Yau fourfolds. In particular, we…

math.SG2021

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…

math.DG2020

Relative Seiberg-Witten invariants and a sum formula

Mohammad Farajzadeh-Tehrani, Pedram Safari

We study relative Seiberg-Witten moduli spaces and define relative invariants for a pair consisting of a smooth, closed, oriented 4-manifold and a smooth, closed, orien…

math.SG2019

Deformation Theory of Log Pseudo-holomorphic Curves and Logarithmic Ruan-Tian Perturbations

Mohammad Farajzadeh-Tehrani

In a previous paper [FT1], for any logarithmic symplectic pair (X,D) of a symplectic manifold X and a simple normal crossings symplectic divisor D, we introduced the notion of log…

math.SG2017★ 4 cited

Pseudoholomorphic Curves Relative to a Normal Crossings Symplectic Divisor: Compactification

Mohammad Farajzadeh-Tehrani

Inspired by the log Gromov-Witten (or GW) theory of Gross-Siebert/Abramovich-Chen, we introduce a geometric notion of log J-holomorphic curve relative to a simple normal crossings…