6 citations · 27 across the 31 of their papers we have counts for
6 papers · 1 filter
W-Operator and Differential Equation for 3-Hurwitz Number
Hao Sun
We consider a new type of Hurwitz number, the number of ordered transitive factorizations of an arbitrary permutation into d-cycles. In this paper, we focus on the special case d =…
A Formula about W-operator and Its Application to Hurwitz Number
Hao Sun
W-operators are differential operators on the polynomial ring. Mironov, Morosov and Natanzon construct the generalized Hurwitz numbers. They use the W-operator to prove a formula f…
Degree of W-operator and Noncrossing Partition
Hao Sun
Goulden and Jackson first introduced the cut-and-join operator. The cut-and-join is widely used in studying the Hurwitz number and many other topological recursion problems. Mirono…
Tilt-stability, vanishing theorems and Bogomolov-Gieseker type inequalities
Hao Max Sun
We investigate the tilt-stability of stable sheaves on projective varieties with respect to certain tilt-stability conditions depends on two parameters constructed by Bridgeland. F…
Remarks on Xiao's approach of Slope inequalities
Hao Sun, Xiaotao Sun, Mingshuo Zhou
We prove the slope inequality for a relative minimal surface fibration in positive characteristic via Xiao's approach. We also prove a better low bound for the slope of non-hyperel…
Arithmetic genus of integral space curves
Hao Max Sun
We give an estimation for the arithmetic genus of an integral space curve, which are not contained in a surface of degree . Our main technique is the Bogomolov-Gieseker type i…