922 citations · 7.2k across the 348 of their papers we have counts for
10 papers · 1 filter
On A-twisted moduli stack for curves from Witten's gauged linear sigma models
Chien-Hao Liu, Kefeng Liu, Shing-Tung Yau
Witten's gauged linear sigma model [Wi1] is one of the universal frameworks or structures that lie behind stringy dualities. Its A-twisted moduli space at genus 0 case has been use…
Computing Conformal Structure of Surfaces
Xianfeng Gu, Shing-Tung Yau
This paper solves the problem of computing conformal structures of general 2-manifolds represented as triangle meshes. We compute conformal structures in the following way: first c…
Fourier-Mukai partners of a K3 surface of Picard number one
Shinobu Hosono, Bong H. Lian, Keiji Oguiso +1
We shall give a complete geometrical description of the FM partners of a K3 surface of Picard number 1 and its applications.
Non-Existence of Black Hole Solutions to Static, Spherically Symmetric Einstein-Dirac Systems - a Critical Discussion
Felix Finster, Joel Smoller, Shing-Tung Yau
This short note compares different methods to prove that Einstein-Dirac systems have no static, spherically symmetric solutions.
c=2 Rational Toroidal Conformal Field Theories via the Gauss Product
Shinobu Hosono, Bong H. Lian, Keiji Oguiso +1
We find a concise relation between the moduli of a rational Narain lattice and the corresponding momentum lattices of left and right chiral algebras via the Gauss p…
Symplectic conifold transitions
I. Smith, R. P. Thomas, S. -T. Yau
We introduce a symplectic surgery in six dimensions which collapses Lagrangian three-spheres and replaces them by symplectic two-spheres. Under mirror symmetry it corresponds to an…