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math.AGNov 5, 2022
authors
  • Yunxia Chen
  • Naichung Conan Leung
institutions
  • Chinese University of Hong Kong
  • Department of Mathematical Sciences
  • East China University of Science and Technology
  • Institute of Mathematical Sciences
  • Mathematical Sciences Research Institute
arXiv abstractPDF
paper

ADE Bundles over Surfaces

arXiv:2210.08771 · doi:10.3842/SIGMA.2022.087

Abstract

This is a review paper about ADE bundles over surfaces. Based on the deep connections between the geometry of surfaces and ADE Lie theory, we construct the corresponding ADE bundles over surfaces and study some related problems.

References in corpus (8)

  • Vector Bundles And F Theory
  • BPS States, String Duality, and Nodal Curves on K3
  • A conjectural generating function for numbers of curves on surfaces
  • Euler number of the compactified Jacobian and multiplicity of rational curves
  • The Katz-Klemm-Vafa conjecture for K3 surfaces
  • Mathematics Underlying the F-Theory/Heterotic String Duality in Eight Dimensions
  • ADE-bundles over rational surfaces, configuration of lines and rulings
  • Yau-Zaslow formula on K3 surfaces for non-primitive classes
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