Virasoro conjecture

In algebraic geometry, the Virasoro conjecture states that a certain generating function encoding Gromov–Witten invariants of a smooth projective variety is fixed by an action of half of the Virasoro algebra. Tohru Eguchi, Kentaro Hori, and Chuan-Sheng Xiong (1997) proposed the Virasoro conjecture as a generalization of Witten's conjecture. Getzler (1999) gave a survey of the Virasoro conjecture.

References

Getzler, E. (1999), "The Virasoro conjecture for Gromov-Witten invariants", in Wiśniewski, Jarosław; Szurek, Michał; Pragacz, Piotr, Algebraic geometry: Hirzebruch 70 (Warsaw, 1998), Contemp. Math. 241, Providence, R.I.: American Mathematical Society, pp. 147–176, ISBN 978-0-8218-1149-8, MR 1718143
Eguchi, Tohru; Hori, Kentaro; Xiong, Chuan-Sheng (1997), "Quantum cohomology and Virasoro algebra", Physics Letters B 402 (1): 71–80, doi:10.1016/S0370-2693(97)00401-2, ISSN 0370-2693, MR 1454328

Mathematics Encyclopedia