Zobrazeno 1 - 10
of 163
pro vyhledávání: '"Shende, Vivek"'
Autor:
Shende, Vivek
The central fiber of a Gross-Siebert type toric degeneration is known to satisfy homological mirror symmetry: its category of coherent sheaves is equivalent to the wrapped Fukaya category of a certain exact symplectic manifold. Here we show that, in
Externí odkaz:
http://arxiv.org/abs/2409.08261
Kashiwara showed in 1996 that the categories of microlocalized D-modules can be canonically glued to give a sheaf of categories over a complex contact manifold. Much more recently, and by rather different considerations, we constructed a canonical no
Externí odkaz:
http://arxiv.org/abs/2406.16222
We show: the Floer homology of (nonexact!) integral Lagrangians in an (nonexact!) integral symplectic manifold can be computed in terms of exact Lagrangians in an exact filling of the prequantization bundle. As a consequence, we deduce a comparison t
Externí odkaz:
http://arxiv.org/abs/2406.08852
Homology theories categorifying quantum group link invariants are known to be governed by the representation theory of quiver Hecke algebras, also called KLRW algebras. Here we show that certain cylindrical KLRW algebras, relevant in particular for c
Externí odkaz:
http://arxiv.org/abs/2406.04258
Autor:
Ekholm, Tobias, Shende, Vivek
We construct a class of perturbations of the Cauchy-Riemann equations for maps from curves to a Calabi-Yau threefold. Our perturbations vanish on components of zero symplectic area. For generic 1-parameter families of perturbations, the locus of solu
Externí odkaz:
http://arxiv.org/abs/2406.00890
We give a `Fukaya category commutes with reduction' theorem for the Hamiltonian torus action on a multiplicative hypertoric variety.
Comment: 14 pages
Comment: 14 pages
Externí odkaz:
http://arxiv.org/abs/2405.07955
To any open subset of a cotangent bundle, Tamarkin has associated a certain quotient of a category of sheaves. Here we show that the Hochschild cohomology of this category agrees with filtered symplectic cohomology.
Comment: 37 pages. V2: Severa
Comment: 37 pages. V2: Severa
Externí odkaz:
http://arxiv.org/abs/2312.11447
Autor:
Scharitzer, Matthias, Shende, Vivek
Under certain hypotheses, we show that Legendrian surfaces related by disk surgery will have q-deformed augmentation spaces that are related by q-deformed cluster transformation. The proof is geometric, via considerations of moduli of holomorphic cur
Externí odkaz:
http://arxiv.org/abs/2312.10625
Autor:
Kuwagaki, Tatsuki, Shende, Vivek
For a localization of a smooth proper category along a subcategory preserved by the Serre functor, we show that morphisms in Efimov's algebraizable categorical formal punctured neighborhood of infinity can be computed using the natural cone between r
Externí odkaz:
http://arxiv.org/abs/2309.17062
Autor:
Scharitzer, Matthias, Shende, Vivek
For a certain class of Legendrian surfaces in the five-sphere, associated to cubic planar graphs, we show that the all-genus skein-valued holomorphic curve invariants of any filling are annihilated by certain explicit skein-valued operator equations.
Externí odkaz:
http://arxiv.org/abs/2304.01872