التفاصيل البيبلوغرافية
| العنوان: |
Degree zero Gromov–Witten invariants for smooth curves. |
| المؤلفون: |
Yang, Di |
| المصدر: |
Bulletin of the London Mathematical Society; Jan2024, Vol. 56 Issue 1, p96-110, 15p |
| مصطلحات موضوعية: |
GROMOV-Witten invariants, ALGEBRAIC spaces, ALGEBRAIC curves, INTEGRALS |
| مستخلص: |
For a smooth projective curve, we derive a closed formula for the generating series of its Gromov–Witten invariants in genus g$g$ and degree zero. It is known that the calculation of these invariants can be reduced to that of the λg$\lambda _g$ and λg−1$\lambda _{g-1}$ integrals on the moduli space of stable algebraic curves. The closed formula for the λg$\lambda _g$ integrals is given by the λg$\lambda _g$ conjecture, proved by Faber and Pandharipande. We compute in this paper the λg−1$\lambda _{g-1}$ integrals via solving the degree zero limit of the loop equation associated to the complex projective line. [ABSTRACT FROM AUTHOR] |
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