Hodge integrals, partition matrices, and the λ g conjecture

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THE MODULI SPACE OF CURVES AND GROMOV-WITTEN THEORY (2006, background): “dimension 2g−3. Again, this has a vanishing/socle part and a perfect pairing part. There is something that canbeconsidered thecorresponding intersectionnumberpart, PandharipandeandFaber’s λ g theorem [FabP2]. We will later (§4.7) give a proof of the vanishing/socle portion of the conjecture, that Ri”
Polynomial recursion formula for linear Hodge integrals (2009, background): “lishes Theorem 1.1. In the ﬁnal section we derive the Dijkgraaf-Verlinde-Verlinde formula [5] for the WittenKontsevich theory [21, 32] from (1.2) as its simple corollary. We also study the λg formula [10, 11] from the point of view of topological recursion. Acknowledgement. The authors thank the Ame”
Tautological and non-tautological cohomology of the moduli space of curves (2011, background): “is R∗(M g). A complete (conjectural) structure of R∗(M g) is proposed in [18] with important advances made in [41, 47, 49]. Conjectures for the compact type cases R∗(Mc g,n) can be found in [21]. See [22, 53, 54] for positive results for compact type. Tavakol [59, 60] has recently proved that R∗(Mc ”