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Log BPS numbers of log Calabi-Yau surfaces
- Choi, Jinwon;
- van Garrel, Michel;
- Katz, Sheldon;
- Takahashi, Nobuyoshi
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12초록
Let (S, E) be a log Calabi-Yau surface pair with E a smooth divisor. We define new conjecturally integer-valued counts of A(1)- curves in (S, E). These log BPS numbers are derived from genus 0 log Gromov-Witten invariants of maximal tangency along E via a formula analogous to the multiple cover formula for disk counts. A conjectural relationship to genus 0 local BPS numbers is described and verified for del Pezzo surfaces and curve classes of arithmetic genus up to 2. We state a number of conjectures and provide computational evidence.
키워드
GROMOV-WITTEN INVARIANTS; DONALDSON-THOMAS INVARIANTS; STABLE LOGARITHMIC MAPS; MIRROR SYMMETRY; RATIONAL CURVES; PROOF; PAIRS; K3; SCHEMES; FORMULA
- 제목
- Log BPS numbers of log Calabi-Yau surfaces
- 저자
- Choi, Jinwon; van Garrel, Michel; Katz, Sheldon; Takahashi, Nobuyoshi
- 발행일
- 2021-01
- 유형
- Article
- 권
- 374
- 호
- 1
- 페이지
- 687 ~ 732