20 citations · 49 across the 11 of their papers we have counts for
12 papers · 1 filter
Residual categories of Grassmannians
Maxim Smirnov
This short note is an extended abstract for my talk at the Nottingham Online Algebraic Geometry Seminar on October 1, 2020. It is based on the joint works with Alexander Kuznetsov…
On the big quantum cohomology of coadjoint varieties
Nicolas Perrin, Maxim Smirnov
This paper is devoted to the study of the quantum cohomology of coadjoint varieties of simple algebraic groups across all Dynkin types. We determine the non-semisimple factors of t…
On the derived category of the adjoint Grassmannian of type F
Maxim Smirnov
We construct a full rectangular Lefschetz collection in the derived category of the adjoint Grassmannian in type . This gives the first example of a full exceptional…
Derived categories of the Cayley plane and the coadjoint Grassmannian of type F
Pieter Belmans, Alexander Kuznetsov, Maxim Smirnov
For the derived category of the Cayley plane, which is the cominuscule Grassmannian of Dynkin type , a full Lefschetz exceptional collection was constructed by Faenzi…
Residual categories for (co)adjoint Grassmannians in classical types
Alexander Kuznetsov, Maxim Smirnov
In our previous paper we suggested a conjecture relating the structure of the small quantum cohomology ring of a smooth Fano variety to the structure of its derived category of coh…
Hochschild cohomology of generalised Grassmannians
Pieter Belmans, Maxim Smirnov
We compute the Hochschild-Kostant-Rosenberg decomposition of the Hochschild cohomology of generalised Grassmannians, i.e. partial flag varieties associated to maximal parabolic sub…
On residual categories for Grassmannians
Alexander Kuznetsov, Maxim Smirnov
We define and discuss some general properties of residual categories of Lefschetz decompositions in triangulated categories. In the case of the derived category of coherent sheaves…
On quantum cohomology of Grassmannians of isotropic lines, unfoldings of -singularities, and Lefschetz exceptional collections
John Alexander Cruz Morales, Alexander Kuznetsov, Anton Mellit +2
The subject of this paper is the big quantum cohomology rings of symplectic isotropic Grassmannians . We show that these rings are regular. In particular, by "gen…
Update on quantum cohomology of IG(2,2n)
Anton Mellit, Nicolas Perrin, Maxim Smirnov
We give another proof of the generic semisimplicity of the big quantum cohomology of the symplectic isotropic Grassmannians IG(2,2n).
Dubrovin's conjecture for
Sergey Galkin, Anton Mellit, Maxim Smirnov
We show that the big quantum cohomology of the symplectic isotropic Grassmanian is generically semisimple, whereas its small quantum cohomology is known to be non-semisim…
Some remarks on Landau-Ginzburg potentials for odd-dimensional quadrics
Vassily Gorbounov, Maxim Smirnov
We study the possibility of constructing a Frobenius manifold for the standard Landau-Ginzburg model of odd-dimensional quadrics and matching it with the Frobenius manif…
Towards motivic quantum cohomology of
Yuri I. Manin, Maxim Smirnov
We explicitly calculate some Gromov--Witten correspondences determined by maps of labeled curves of genus zero to the moduli spaces of labeled curves of genus zero. We consider the…