The Moduli Space of Curves, Double Hurwitz Numbers, and Faber’s Intersection Number Conjecture
نویسندگان
چکیده
منابع مشابه
The Moduli Space of Curves, Double Hurwitz Numbers, and Faber’s Intersection Number Conjecture
We define the dimension 2g − 1 Faber-Hurwitz Chow/homology classes on the moduli space of curves, parametrizing curves expressible as branched covers of P with given ramification over ∞ and sufficiently many fixed ramification points elsewhere. Degeneration of the target and judicious localization expresses such classes in terms of localization trees weighted by “top intersections” of tautologi...
متن کاملHurwitz Numbers and Intersections on Moduli Spaces of Curves
Torsten Ekedahl, Sergei Lando, Michael Shapiro, and Alek Vainshtein ∗ 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...
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We present a series of results we obtained recently about the intersection numbers of tautological classes on moduli spaces of curves, including a simple formula of the n-point functions for Witten's tau classes, an effective recursion formula to compute higher Weil-Petersson volumes, several new recursion formulae of intersection numbers and our proof of a conjecture of Itzykson and Zuber conc...
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The purpose of this note is to explain how to calculate intersection numbers on moduli spaces of curves. More specifically, we will discuss computing intersection numbers among tautological classes on the moduli space of stable n-pointed curves of genus g, denoted Mg,n. The recipe described below is the cumulation of many results found in various papers [AC,F2,GP,M,W], but is reformulated here ...
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ژورنال
عنوان ژورنال: Annals of Combinatorics
سال: 2011
ISSN: 0218-0006,0219-3094
DOI: 10.1007/s00026-011-0102-9