Relative Lefschetz Action and BPS State Counting

Shinobu Hosono; Masa-Hiko Saito; Atsushi Takahashi

doi:10.1155/S107379280100040X

Relative Lefschetz Action and BPS State Counting

代数几何 2017-10-20 v2 高能物理 - 理论

作者: Shinobu Hosono , Masa-Hiko Saito , Atsushi Takahashi

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摘要

In this paper, we propose a mathematical definition of a new ``numerical invariants" of Calabi--Yau 3-folds from stable sheaves of dimension one, which is motivated by the Gopakumar-Vafa conjecture in M-theory. Moreover, we show that for any projective morphism $f:X -> Y$ of normal projective varieties, there exists a natural $sl_2 \times sl_2$ action on the intersection cohomology group $IH(X, \Q)$ which fits into the perverse Leray spectral sequence.

关键词

calabi-yau manifold seiberg-witten invariants invariant theory

引用

@article{arxiv.math/0105148,
  title  = {Relative Lefschetz Action and BPS State Counting},
  author = {Shinobu Hosono and Masa-Hiko Saito and Atsushi Takahashi},
  journal= {arXiv preprint arXiv:math/0105148},
  year   = {2017}
}

备注

latex file, 25 pages, minor corrections, typos

Relative Lefschetz Action and BPS State Counting

摘要

关键词

引用

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