Root polytopes, flow polytopes, and order polytopes
K Rietsch, L Williams - arXiv preprint arXiv:2406.15803, 2024 - arxiv.org
In this paper we study the class of polytopes which can be obtained by taking the convex
hull of some subset of the points $\{e_i-e_j\\vert\i\neq j\}\cup\{\pm e_i\} $ in $\mathbb {R}^ n …
hull of some subset of the points $\{e_i-e_j\\vert\i\neq j\}\cup\{\pm e_i\} $ in $\mathbb {R}^ n …
[HTML][HTML] Dual pairs of gauged linear sigma models and derived equivalences of Calabi–Yau threefolds
A Gerhardus, H Jockers - Journal of Geometry and Physics, 2017 - Elsevier
In this work we study the phase structure of skew symplectic sigma models, which are a
certain class of two-dimensional N=(2, 2) non-Abelian gauged linear sigma models. At low …
certain class of two-dimensional N=(2, 2) non-Abelian gauged linear sigma models. At low …
Beijing lectures on the grade restriction rule
The authors describe the relationships between categories of B-branes in different phases of
the non-Abelian gauged linear sigma model. The relationship is described explicitly for the …
the non-Abelian gauged linear sigma model. The relationship is described explicitly for the …
Equivariant A-twisted GLSM and Gromov-Witten invariants of CY 3-folds in Grassmannians
A bstract We compute genus-zero Gromov-Witten invariants of Calabi-Yau complete
intersection 3-folds in Grassmannians using supersymmetric localization in A-twisted …
intersection 3-folds in Grassmannians using supersymmetric localization in A-twisted …
A superpotential for Grassmannian Schubert varieties
K Rietsch, L Williams - arXiv preprint arXiv:2409.00734, 2024 - arxiv.org
While mirror symmetry for flag varieties and Grassmannians has been extensively studied,
Schubert varieties in the Grassmannian are singular, and hence standard mirror symmetry …
Schubert varieties in the Grassmannian are singular, and hence standard mirror symmetry …
-functions of Calabi--Yau 3-folds in Grassmannians
D Inoue, A Ito, M Miura - arXiv preprint arXiv:1607.08137, 2016 - arxiv.org
arXiv:1607.08137v2 [math.AG] 5 Sep 2017 Page 1 arXiv:1607.08137v2 [math.AG] 5 Sep 2017
I-FUNCTIONS OF CALABI–YAU 3-FOLDS IN GRASSMANNIANS DAISUKE INOUE, ATSUSHI …
I-FUNCTIONS OF CALABI–YAU 3-FOLDS IN GRASSMANNIANS DAISUKE INOUE, ATSUSHI …
Mirror symmetry and projective geometry of Fourier-Mukai partners
S Hosono, H Takagi - arXiv preprint arXiv:1410.1254, 2014 - arxiv.org
This is a survey article on mirror symmetry and Fourier-Mukai partners of Calabi-Yau
threefolds with Picard number one based on recent works by the authors [HoTa1, 2, 3, 4] …
threefolds with Picard number one based on recent works by the authors [HoTa1, 2, 3, 4] …
Degenerations and Lagrangian fibrations of Calabi-Yau manifolds
A Kanazawa - arXiv preprint arXiv:1801.02749, 2018 - arxiv.org
We discuss various topics on degenerations and special Lagrangian torus fibrations of
Calabi-Yau manifolds in the context of mirror symmetry. A particular emphasis is on Tyurin …
Calabi-Yau manifolds in the context of mirror symmetry. A particular emphasis is on Tyurin …
String Compactifications from the Worldsheet and Target Space Point of View
A Gerhardus - 2019 - bonndoc.ulb.uni-bonn.de
This thesis presents research on compactifications of type II superstring theories, combining
worldsheet and target space approaches. This is achieved by using supersymmetric gauge …
worldsheet and target space approaches. This is achieved by using supersymmetric gauge …
Degenerating Hodge structure of one-parameter family of Calabi-Yau threefolds
T Hayama, A Kanazawa - arXiv preprint arXiv:1409.4098, 2014 - arxiv.org
To a one-parameter family of Calabi-Yau threefolds, we can associate the extended period
map by the log Hodge theory of Kato and Usui. In the present paper, we study the image of a …
map by the log Hodge theory of Kato and Usui. In the present paper, we study the image of a …