Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 18 (2022), 087, 21 pages      arXiv:2210.08771
Contribution to the Special Issue on Enumerative and Gauge-Theoretic Invariants in honor of Lothar Göttsche on the occasion of his 60th birthday

ADE Bundles over Surfaces

Yunxia Chen a and Naichung Conan Leung b
a) School of Mathematics, East China University of Science and Technology, Meilong Road 130, Shanghai, China
b) The Institute of Mathematical Sciences and Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong

Received March 07, 2022, in final form October 21, 2022; Published online November 05, 2022

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.

Key words: ADE bundles; surfaces; Cox ring.

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