Search Results - "KATZARKOV, LUDMIL"

Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces by Abouzaid, Mohammed, Auroux, Denis, Katzarkov, Ludmil

“…We consider mirror symmetry for (essentially arbitrary) hypersurfaces in (possibly noncompact) toric varieties from the perspective of the…”
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Lagrangian Floer theory for trivalent graphs and homological mirror symmetry for curves by Auroux, Denis, Efimov, Alexander I., Katzarkov, Ludmil

“…Mirror symmetry for higher genus curves is usually formulated and studied in terms of Landau–Ginzburg models; however the critical locus of the superpotential…”
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A category of kernels for equivariant factorizations and its implications for Hodge theory by Ballard, Matthew, Favero, David, Katzarkov, Ludmil

“…We provide a factorization model for the continuous internal Hom, in the homotopy category of k -linear dg-categories, between dg-categories of equivariant…”
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Harmonic Maps to Buildings and Singular Perturbation Theory by Katzarkov, Ludmil, Noll, Alexander, Pandit, Pranav, Simpson, Carlos

“…The notion of a (uni)versal building associated with a point in the Hitchin base is introduced. The universal building is a building equipped with a harmonic…”
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Homological mirror symmetry for punctured spheres by ABOUZAID, MOHAMMED, AUROUX, DENIS, EFIMOV, ALEXANDER I., KATZARKOV, LUDMIL, ORLOV, DMITRI

“…with an arbitrary number of points removed) is equivalent to the triangulated category of singularities of a mirror Landau-Ginzburg model, proving one side of…”
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Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves by Auroux, Denis, Katzarkov, Ludmil, Orlov, Dmitri

“…We study homological mirror symmetry for Del Pezzo surfaces and their mirror Landau-Ginzburg models. In particular, we show that the derived category of…”
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A category of kernels for equivariant factorizations, II: Further implications by Ballard, Matthew, Favero, David, Katzarkov, Ludmil

“…We leverage the results of the prequel [8], in combination with a theorem of D. Orlov to create a categorical covering picture for factorizations. As…”
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On the derived categories of degree d hypersurface fibrations by Ballard, Matthew, Deliu, Dragos, Favero, David, Isik, M. Umut, Katzarkov, Ludmil

“…We provide descriptions of the derived categories of degree d hypersurface fibrations which generalize a result of Kuznetsov for quadric fibrations and give a…”
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The Mori program and Non-Fano toric Homological Mirror Symmetry by BALLARD, MATTHEW, DIEMER, COLIN, FAVERO, DAVID, KATZARKOV, LUDMIL, KERR, GABRIEL

“…As evidence, we prove a new case of Homological Mirror Symmetry for a toric surface whose anticanonical bundle is not nef, namely a certain blow-up of at three…”
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Super Landau-Ginzburg mirrors and algebraic cycles by Garavuso, Richard S., Katzarkov, Ludmil, Kreuzer, Maximilian, Noll, Alexander

“…We investigate the super Landau-Ginzburg mirrors of gauged linear sigma models which, in an appropriate low energy limit, reduce to nonlinear sigma models with…”
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Erratum: Super Landau-Ginzburg mirrors and algebraic cycles by Garavuso, Richard S., Katzarkov, Ludmil, Kreuzer, Maximilian, Noll, Alexander

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Homological Mirror Symmetry for manifolds of general type by Kapustin Anton, Katzarkov Ludmil, Orlov Dmitri, Yotov Mirroslav

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Discriminants and toric K-theory by Horja, R. Paul, Katzarkov, Ludmil

“…We discuss a categorical approach to the theory of discriminants in the combinatorial language introduced by Gelfand, Kapranov and Zelevinsky. Our point of…”
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Noncommutative Counting Invariants and Curve Complexes by Dimitrov, George, Katzarkov, Ludmil

“…Abstract In our previous paper, viewing $D^b(K(l))$ as a noncommutative curve, where $K(l)$ is the Kronecker quiver with $l$-arrows, we introduced categorical…”
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Bridgeland stability conditions on the acyclic triangular quiver by Dimitrov, George, Katzarkov, Ludmil

“…Using results in our previous paper “Non-semistable exceptional objects in hereditary categories”, we focus here on studying the topology of the space of…”
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Some new categorical invariants by Dimitrov, George, Katzarkov, Ludmil

“…In this paper we introduce new categorical notions and give many examples. In an earlier paper we proved that the Bridgeland stability space on the derived…”
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Editorial Material by Katzarkov Ludmil, Pantev Tony, Tschinkel Yuri, Zarhin Yuri

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Shifted symplectic structures on derived Quot-stacks I – Differential graded manifolds by Borisov, Dennis, Katzarkov, Ludmil, Sheshmani, Artan

“…A theory of dg schemes is developed so that it becomes a homotopy site, and the corresponding infinity category of stacks is equivalent to the infinity…”
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Towards mirror symmetry for varieties of general type by Gross, Mark, Katzarkov, Ludmil, Ruddat, Helge

“…The goal of this paper is to propose a theory of mirror symmetry for varieties of general type. Using Landau–Ginzburg mirrors as motivation, we describe the…”
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Tropical Homology by Itenberg, Ilia, Katzarkov, Ludmil, Mikhalkin, Grigory, Zharkov, Ilia

“…Given a tropical variety X and two non-negative integers p and q we define a homology group H p , q ( X ) which is a finite-dimensional vector space over Q …”
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