6 citations · 31 across the 12 of their papers we have counts for
16 papers
Airy structures and deformations of curves in surfaces
Wee Chaimanowong, Paul Norbury, Michael Swaddle +1
An embedded curve in a symplectic surface defines a smooth deformation space of nearby embedded curves. A key idea of Kontsevich and Soibelman arXiv:1701…
An action of the Polishchuk differential operator via punctured surfaces
Gabriel C. Drummond-Cole, Mehdi Tavakol
For a family of Jacobians of smooth pointed curves there is a notion of tautological algebra. There is an action of on this algebra. We define and study a lifting…
B-type Landau-Ginzburg models with one-dimensional target
Calin Iuliu Lazaroiu, Mehdi Tavakol
We summarize the main results of our investigation of B-type topological Landau-Ginzburg models whose target is an arbitrary open Riemann surface. Such a Riemann surface need not b…
B-type Landau-Ginzburg models on Stein manifolds
E. M. Babalic, D. Doryn, C. I. Lazaroiu +1
We summarize the description of the open-closed TFT datum for B-type Landau-Ginzburg models with Stein manifold targets and discuss various constructions which lead to large classe…
Matrix factorizations over elementary divisor domains
Dmitry Doryn, Calin Iuliu Lazaroiu, Mehdi Tavakol
We study the homotopy category of matrix factorizations of non-zero elements , where is an elementary divisor domain. When has prime elem…
Elementary matrix factorizations over Bézout domains
Dmitry Doryn, Calin Iuliu Lazaroiu, Mehdi Tavakol
We study the homotopy category (and its -graded version ) of elementary factorizations, where is a Bézout domain which has…
A differential model for B-type Landau-Ginzburg theories
Elena Mirela Babalic, Dmitry Doryn, Calin Iuliu Lazaroiu +1
We describe a mathematically rigorous differential model for B-type open-closed topological Landau-Ginzburg theories defined by a pair , where is a non-compact Kählerian…
Tautological classes with twisted coefficients
Dan Petersen, Mehdi Tavakol, Qizheng Yin
Let be the moduli space of smooth genus curves. We define a notion of Chow groups of with coefficients in a representation of , and we define a subgroup of…
The moduli space of curves and its invariants
Mehdi Tavakol
This note is about invariants of moduli spaces of curves. It includes their intersection theory and cohomology. Our main focus in on the distinguished piece containing the so calle…
On B-type open-closed Landau-Ginzburg theories defined on Calabi-Yau Stein manifolds
Elena Mirela Babalic, Dmitry Doryn, Calin Iuliu Lazaroiu +1
We consider the bulk algebra and topological D-brane category arising from the differential model of the open-closed B-type topological Landau-Ginzburg theory defined by a pair $(X…
Differential models for B-type open-closed topological Landau-Ginzburg theories
Elena Mirela Babalic, Dmitry Doryn, Calin Iuliu Lazaroiu +1
We propose a family of differential models for B-type open-closed topological Landau-Ginzburg theories defined by a pair , where is any non-compact Calabi-Yau manifold a…
A conjectural connection between R^*(C_g^n) and R^*(M_{g,n}^rt)
Mehdi Tavakol
Let M_{g,n}^rt be the moduli space of stable n-pointed curves of genus g>1 with rational tails. We also consider the space C_g^n classifying smooth curves of genus g with not neces…
Tautological classes on the moduli space of hyperelliptic curves with rational tails
Mehdi Tavakol
We study tautological classes on the moduli space of stable -pointed hyperelliptic curves of genus with rational tails. Our result gives a complete description of tautologic…
The tautological ring of the moduli space M_{2,n}^rt
Mehdi Tavakol
We study the tautological ring of the moduli space of stable n-pointed curves of genus two with rational tails. The algebra is described in terms of explicit generators and relatio…
The Chow ring of the moduli space of curves of genus zero
Mehdi Tavakol
After recalling several constructions of the moduli space of curves of genus zero by different people we give our alternative construction of the moduli space. This gives a simple…
The tautological ring of
Mehdi Tavakol
We describe the tautological ring of the moduli space of -pointed curves of genus one of compact type. It is proven that it is a Gorenstein algebra.