Results 11 to 20 of about 10,738 (29)
Matrix factorizations and singularity categories for stacks [PDF]
We study matrix factorizations of a section W of a line bundle on an algebraic stack. We relate the corresponding derived category (the category of D-branes of type B in the Landau-Ginzburg model with potential W) with the singularity category of the ...
Polishchuk, Alexander, Vaintrob, Arkady
core +3 more sources
Tautological relations and the r-spin Witten conjecture [PDF]
In a series of two preprints, Y.-P. Lee studied relations satisfied by all formal Gromov-Witten potentials, as defined by A. Givental. He called them "universal relations" and studied their connection with tautological relations in the cohomology ring of
Faber, Carel +2 more
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Recently, there is an explosive growth of activities to understand stringy properties of orbifolds. In this article, we survey some of recent developments.Comment: A survery article written for the Proceedings of Workshop on Mathematical Aspect of ...
Ruan, Yongbin
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Some Navigation Rules for D-Brane Monodromy [PDF]
We explore some aspects of monodromies of D-branes in the Kahler moduli space of Calabi-Yau compactifications. Here a D-brane is viewed as an object of the derived category of coherent sheaves.
Argyres P. C. +22 more
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A survey on symplectic singularities and resolutions [PDF]
This is a survey written in an expositional style on the topic of symplectic singularities and symplectic resolutions, which could also serve as an introduction to this ...
Fu, Baohua
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Derived Category Automorphisms from Mirror Symmetry
Inspired by the homological mirror symmetry conjecture of Kontsevich, we construct new classes of automorphisms of the bounded derived category of coherent sheaves on a smooth Calabi-Yau variety.Comment: LaTeX, 27 pages, no figures; substantially revised;
Horja, Richard Paul
core +1 more source
Absolutely trianalytic tori in the generalized Kummer variety [PDF]
We prove that a generic complex deformation of a generalized Kummer variety contains no complex analytic tori.Comment: 14 pages. Some changes after comments.
Kurnosov, Nikon
core +2 more sources
A framework for tropical mirror symmetry [PDF]
Applying tropical geometry a framework for mirror symmetry, including a mirror construction for Calabi-Yau varieties, was proposed by the author. We discuss the conceptual foundations of this construction based on a natural mirror map identifying ...
Boehm, Janko
core
Factorization of point configurations, cyclic covers and conformal blocks
We describe a relation between the invariants of $n$ ordered points in $P^d$ and of points contained in a union of linear subspaces $P^{d1}\cup P^{d2} \subset P^d$.
Bolognesi, Michele, Giansiracusa, Noah
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This is an exposition of recent progress in the categorical approach to D-brane physics. I discuss the physical underpinnings of the appearance of homotopy categories and triangulated categories of D-branes from a string field theoretic perspective, and ...
Aspinwall P. +20 more
core +1 more source

