Relative Donaldson-Thomas theory for Calabi-Yau 4-folds

Yalong Cao; Naichung Conan Leung

doi:10.1090/tran/7002

Relative Donaldson-Thomas theory for Calabi-Yau 4-folds

Algebraic Geometry 2020-08-18 v2 Differential Geometry

Authors: Yalong Cao , Naichung Conan Leung

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Abstract

Given a complex 4-fold $X$ with an (Calabi-Yau 3-fold) anti-canonical divisor $Y$ , we study relative Donaldson-Thomas invariants for this pair, which are elements in the Donaldson-Thomas cohomologies of $Y$ . We also discuss gluing formulas which relate relative invariants and $DT_{4}$ invariants for Calabi-Yau 4-folds.

Keywords

relative Donaldson-Thomas theory Calabi-Yau 4-folds anti-canonical divisor gluing formulas Donaldson-Thomas cohomology DT4 invariants

Cite

@article{arxiv.1502.04417,
  title  = {Relative Donaldson-Thomas theory for Calabi-Yau 4-folds},
  author = {Yalong Cao and Naichung Conan Leung},
  journal= {arXiv preprint arXiv:1502.04417},
  year   = {2020}
}

Comments

v2: 21 pages, improved expositions

Relative Donaldson-Thomas theory for Calabi-Yau 4-folds

Abstract

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