The Gromov-Witten Potential of A Point, Hurwitz Numbers, and Hodge Integrals
نویسندگان
چکیده
منابع مشابه
The Gromov-witten Potential of a Point, Hurwitz Numbers, and Hodge Integrals
Hurwitz numbers, which count certain covers of the projective line (or, equivalently, factorizations of permutations into transpositions), have been extensively studied for over a century. The Gromov-Witten potential F of a point, the generating series for Hodge integrals on the moduli space of curves, has been a central object of study in Gromov-Witten theory. We define a slightly enriched Gro...
متن کاملOn Hodge Integrals and Hurwitz Numbers
∗ Dept. of Math., University of Stockholm, S-10691, Stockholm, [email protected] † Higher College of Math., Independent University of Moscow, and Institute for System Research RAS, [email protected] ‡ Department of Mathematics, Royal Institute of Technology, S-10044, Stockholm, [email protected] ♮ Dept. of Math. and Dept. of Computer Science, University of Haifa, Haifa 31905, [email protected]...
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Abstract. We prove some combinatorial results related to a formula on Hodge integrals conjectured by Mariño and Vafa. These results play important roles in the proof and applications of this formula by the author jointly with ChiuChu Melissa Liu and Kefeng Liu. We also compare with some related results on Hurwitz numbers and obtain some closed expressions for the generating series of Hurwitz nu...
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 2001
ISSN: 0024-6115
DOI: 10.1112/plms/83.3.563