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19922026
most citedMirror Symmetry is T-Duality

922 citations · 7.2k across the 348 of their papers we have counts for

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Showing 2020 · math.AGShow all

7 papers · 2 filters

math.AG2020★ 1 cited

Elliptic stable envelopes and hypertoric loop spaces

Michael McBreen, Artan Sheshmani, Shing-Tung Yau

This paper relates the elliptic stable envelopes of a hypertoric variety with the K-theoretic stable envelopes of the loop hypertoric space, . It thus…

math.AG2020

On Calabi--Yau fractional complete intersections

Tsung-Ju Lee, Bong H. Lian, Shing-Tung Yau

In this article, we study mirror symmetry for pairs of singular Calabi--Yau manifolds which are double covers of toric manifolds. Their period integrals can be seen as certain `fra…

math.AG2020

Global shifted potentials for moduli stacks of sheaves on Calabi-Yau four-folds

Dennis Borisov, Ludmil Katzarkov, Artan Sheshmani +1

It is shown that there are globally defined Lagrangian distributions on the stable loci of derived Quot-stacks of coherent sheaves on Calabi--Yau four-folds. Dividing by these dist…

math.AG2020

Comparison Theorems of Phylogenetic Spaces and the Moduli Spaces of Curves

Yingying Wu, Shing-Tung Yau

Rapid developments in genetics and biology have led to phylogenetic methods becoming an important direction in the study of cancer and viral evolution. Although our understanding o…

math.AG2020

Twisted Quasimaps and Symplectic Duality for Hypertoric Spaces

Michael McBreen, Artan Sheshmani, Shing-Tung Yau

We study moduli spaces of twisted quasimaps to a hypertoric variety , arising as the Higgs branch of an abelian supersymmetric gauge theory in three dimensions. These parametris…

math.AG2020

Mirror symmetry for double cover Calabi--Yau varieties

Shinobu Hosono, Tsung-Ju Lee, Bong H. Lian +1

The presented paper is a continuation of the series of papers arXiv:1810.00606 and arXiv:1903.09373. In this paper, utilizing Batyrev and Borisov's duality construction on nef-part…

math.AG2020★ 2 cited

Grothendieck meeting [Wess & Bagger]: [Supersymmetry and supergravity: IV, V, VI, VII, XXII] (2nd ed.) reconstructed in complexified -graded -Algebraic Geometry, I. Construction under trivialization of spinor bundle

Chien-Hao Liu, Shing-Tung Yau

Forty-six years after the birth of supersymmetry in 1973 from works of Julius Wess and Bruno Zumino, the standard quantum-field-theorists and particle physicists' language of `supe…