Quasimaps to quivers with potentials
This paper is concerned with a non-compact GIT quotient of a vector space, in the presence
of an abelian group action and an equivariant regular function (potential) on the quotient …
of an abelian group action and an equivariant regular function (potential) on the quotient …
On genus-0 invariants of Calabi-Yau hybrid models
D Erkinger, J Knapp - Journal of High Energy Physics, 2023 - Springer
A bstract We compute genus zero correlators of hybrid phases of Calabi-Yau gauged linear
sigma models (GLSMs), ie of phases that are Landau-Ginzburg orbifolds fibered over some …
sigma models (GLSMs), ie of phases that are Landau-Ginzburg orbifolds fibered over some …
Open/closed Correspondence and Extended LG/CY Correspondence for Quintic Threefolds
K Aleshkin, CCM Liu - arXiv preprint arXiv:2309.14628, 2023 - arxiv.org
We show that Walcher's disk potential for the quintic threefold can be represented as a
central charge of a specific Gauged Linear Sigma Model which we call the extended quintic …
central charge of a specific Gauged Linear Sigma Model which we call the extended quintic …
Higgs-Coulomb correspondence and Wall-Crossing in abelian GLSMs
K Aleshkin, CCM Liu - arXiv preprint arXiv:2301.01266, 2023 - arxiv.org
We compute I-functions and central charges for abelian GLSMs using virtual matrix
factorizations of Favero and Kim. In the Calabi-Yau case we provide analytic continuation for …
factorizations of Favero and Kim. In the Calabi-Yau case we provide analytic continuation for …
Hirzebruch-Riemann-Roch for global matrix factorizations
B Kim - arXiv preprint arXiv:2106.00435, 2021 - arxiv.org
arXiv:2106.00435v1 [math.AG] 1 Jun 2021 Page 1 arXiv:2106.00435v1 [math.AG] 1 Jun 2021
HIRZEBRUCH-RIEMANN-ROCH FOR GLOBAL MATRIX FACTORIZATIONS BUMSIG KIM …
HIRZEBRUCH-RIEMANN-ROCH FOR GLOBAL MATRIX FACTORIZATIONS BUMSIG KIM …
Open FJRW Theory and Mirror Symmetry
M Gross, TL Kelly, RJ Tessler - arXiv preprint arXiv:2203.02435, 2022 - arxiv.org
We construct an open enumerative theory for the Landau-Ginzburg (LG) model $(\mathbb
{C}^ 2,\mu_r\times\mu_s, x^ r+ y^ s) $. The invariants are defined as integrals of …
{C}^ 2,\mu_r\times\mu_s, x^ r+ y^ s) $. The invariants are defined as integrals of …
Towards a mirror theorem for GLSMs
M Shoemaker - arXiv preprint arXiv:2108.12360, 2021 - arxiv.org
We propose a method for computing generating functions of genus-zero invariants of a
gauged linear sigma model $(V, G,\theta, w) $. We show that certain derivatives of $ I …
gauged linear sigma model $(V, G,\theta, w) $. We show that certain derivatives of $ I …
Riemann–Roch for stacky matrix factorizations
D Choa, B Kim, B Sreedhar - Forum of Mathematics, Sigma, 2022 - cambridge.org
We establish a Hirzebruch–Riemann–Roch-type theorem and a Grothendieck–Riemann–
Roch-type theorem for matrix factorizations on quotient Deligne–Mumford stacks. For this …
Roch-type theorem for matrix factorizations on quotient Deligne–Mumford stacks. For this …
Wall-crossing for K-theoretic quasimap invariants I
K Aleshkin, CCM Liu - arXiv preprint arXiv:2210.10315, 2022 - arxiv.org
We study K-theoretic GLSM invariants with one-dimensional gauge group and introduce
elliptic central charges that depend on an elliptic cohomology class called an elliptic brane …
elliptic central charges that depend on an elliptic cohomology class called an elliptic brane …
Seiberg-like duality for resolutions of determinantal varieties
We study the genus-zero Gromov-Witten theory of two natural resolutions of determinantal
varieties, termed the PAX and PAXY models. We realize each resolution as lying in a quiver …
varieties, termed the PAX and PAXY models. We realize each resolution as lying in a quiver …