Mehdi Tavakol

B-type Landau-Ginzburg models on Stein manifolds

EM Babalic, D Doryn, CI Lazaroiu, M Tavakol

Conference Proceedings  |  2019  |  32ND INTERNATIONAL COLLOQUIUM ON GROUP THEORETICAL METHODS IN PHYSICS (GROUP32)

We summarize the description of the open-closed TFT datum for B-type Landau-Ginzburg models with Stein manifold targets and discus..

A differential model for B-Type Landau–Ginzburg theories

EM Babalic, D Doryn, CI Lazaroiu, M Tavakol

Book Chapter  |  2019  |  Trends in Mathematics

We describe a mathematically rigorous differential model for B-Type open-closed topological Landau–Ginzburg theories defined by a ..

B-type Landau-Ginzburg models with one-dimensional target

Calin Iuliu Lazaroiu, Mehdi Tavakol

Conference Proceedings  |  2019  |  32ND INTERNATIONAL COLLOQUIUM ON GROUP THEORETICAL METHODS IN PHYSICS (GROUP32)

We summarize the main results of our investigation of B-type topological Landau-Ginzburg models whose target is an arbitrary open ..

On B-type Open-Closed Landau-Ginzburg Theories Defined on Calabi-Yau Stein Manifolds

Elena Mirela Babalic, Dmitry Doryn, Calin Iuliu Lazaroiu, Mehdi Tavakol

Journal article  |  2018  |  COMMUNICATIONS IN MATHEMATICAL PHYSICS

We consider the bulk algebra and topological D-brane category arising from the differential model of the open–closed B-type topolo..

Differential Models for B-Type Open-Closed Topological Landau-Ginzburg Theories

Elena Mirela Babalic, Dmitry Doryn, Calin Iuliu Lazaroiu, Mehdi Tavakol

Journal article  |  2018  |  COMMUNICATIONS IN MATHEMATICAL PHYSICS

We propose a family of differential models for B-type open–closed topological Landau–Ginzburg theories defined by a pair (X,W), wh..

Tautological classes on the moduli space of hyperelliptic curves with rational tails

Mehdi Tavakol

Journal article  |  2018  |  JOURNAL OF PURE AND APPLIED ALGEBRA

We study tautological classes on the moduli space of stable n-pointed hyperelliptic curves of genus g with rational tails. The met..

The connection between R-* (C-g(n)) and R-* (M-g,n(rt))

Mehdi Tavakol

Journal article  |  2018  |  JOURNAL OF PURE AND APPLIED ALGEBRA

We study the connection between tautological classes on the moduli spaces Cgn and Mg,nrt. A conjectural connection between tautolo..

The Chow ring of the moduli space of curves of genus zero

Mehdi Tavakol

Journal article  |  2017  |  JOURNAL OF PURE AND APPLIED ALGEBRA

We give a new presentation of the intersection ring of the moduli space of curves of genus zero. Our description gives an explicit..

The Tautological Ring of the Moduli Space M2,n(rt)

Mehdi Tavakol

Journal article  |  2014  |  INTERNATIONAL MATHEMATICS RESEARCH NOTICES

We study the tautological ring of the moduli space of stable n-pointed curves of genus 2 with rational tails. The algebra is descr..