18 citations · 24 across the 4 of their papers we have counts for
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Tautological equation in \bar{M}_{3,1} via invariance conjectures
D. Arcara, Y. -P. Lee
A new tautological equation of $\Mbar_{3,1}$ in codimension 3 is derived and proved, using the invariance condition explained in earlier works.
Tautological equations in genus 2 via invariance conjectures
D. Arcara, Y. -P. Lee
We verify the Invariance Conjectures of tautological equations in genus two. In particular, a uniform derivation of all known genus two equations is given.
Witten's conjecture, Virasoro conjecture, and invariance of tautological equations
Y. -P. Lee
The main goal of this paper is to prove the following two conjectures for genus up to two: 1. Witten's conjecture on the relations between higher spin curves and Gelfand--Dickey hi…
Witten's conjecture and Virasoro conjecture for genus up to two
Y. -P. Lee
This is an expository paper based on the results in [12] and [16]. The main goal is to prove the following two conjectures for genus up to two. (1) Witten's conjecture on the relat…
Orbifold Euler characteristics of universal cotangent line bundles on
Y. -P. Lee
A scheme of computing $χ(\mbar_{1,n}, L_1^{\otimes d_1}\otimes ... \otimes L_n^{\otimes d_n})$ is given. Here $\mbar_{1,n}$ is the moduli space of -pointed stable curves of genu…