2 citations · 2 across the 23 of their papers we have counts for
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A question on generalization of partition functions of CY 3-folds in String Theory
Mohammad Reza Rahmati
This is an expositoray article on the topological string partition function promoting an extension of the partition function of open Gromov-Witten theory of CY 3-folds defined by t…
Tropical Normal Functions -- Higher Abel-Jacobi Invariants of Tropical cycles
Mohammad Reza Rahmati
We consider the variation of tropical Hodge structure (TVHS) associated to families of tropical varieties. The family of the tropical intermediate Jacobians of the associated tropi…
Hodge-Arakelov inequalities for family of surfaces fibered by curves
Mohammad Reza Rahmati
The Hodge numerical invariants of a variation of Hodge structure over a smooth quas--projective variety are a measure of complexity for the global twisting of the limit mixed Hodge…
Invariant Jet differentials and Asymptotic Serre duality
Mohammad Reza Rahmati
We generalize the main result of Demailly \cite{D2} for the bundles of jet differentials of order and weighted degree to the bundles of t…
Finite Generation and Structure of Invariant Jets under Non-Reductive Reparametrization
Mohammad Reza Rahmati
We study invariant jet differentials in the framework of complex hyperbolicity, focusing on the algebra of invariants for the non--reductive reparametrization group $G_k = \mathbb{…
Geometry of Weighted Homogeneous Spaces
Mohammad Reza Rahmati, Gerardo Flores
In this paper, we define the weighted homogeneous space (WHS), denoted by where is weight function defined on the set of simple roots of , by an element…
Schur-Weyl Duality and Higher Abel-Jacobi Invariants for Tautological Cycles in
Mohammad Reza Rahmati
This article investigates the Hodge theory of the moduli space of genus curves with marked points, establishing new connections between Schur-Weyl duality for $\mathfrak{sp…
Fock Space of Level infinity and Characters of Vertex Operators
Mohammad Reza Rahmati, Gerardo Flores
We present an extension of the trace of a vertex operator and explain a representation-theoretic interpretation of the trace. Specifically, we consider a twist of the vertex operat…