Key points are not available for this paper at this time.
Buryak and Shadrin conjectured a tautological relation on moduli spaces of curves M₆, ₍ which has the form Bᵐ₆, ₃=0 for certain tautological classes Bᵐ₆, ₃ where m 2, n 1 and |d| 2g+m-1. In this paper we prove that this conjecture holds if it is true for the m=2 and |d| = 2g+1 case. This result reduces the proof of this conjecture to checking finitely many cases for each genus g. We will also prove this conjecture for the g=1 case.
Liu et al. (Thu,) studied this question.