28 citations · 94 across the 20 of their papers we have counts for
6 papers · 1 filter
Solving equations with Hodge theory
Kefeng Liu, Shengmao Zhu
We treat two quite different problems related to changes of complex structures on Kähler manifolds by using global geometric method. First, by using operators from Hodge theory on…
Topological strings, quiver varieties and Rogers-Ramanujan identities
Shengmao Zhu
Motivated by some recent works on BPS invariants of open strings/knot invariants, we guess there may be a general correspondence between the Ooguri-Vafa invariants of toric Calabi-…
Integrality structures in topological strings I: framed unknot
Wei Luo, Shengmao Zhu
We study the open string integrality invariants (LMOV invariants) for toric Calabi-Yau 3-folds with Aganagic-Vafa brane (AV-brane). In this paper, we focus on the case of the resol…
Hurwitz-Hodge integral identities from the cut-and-join equation
Wei Luo, Shengmao Zhu
In this paper, we present some Hurwitz-Hodge integral identities which are derived from the Laplace transform of the cut-and-join equation for the orbifold Hurwitz numbers. As an a…
On a proof of the Bouchard-Sulkowski conjecture
Shengmao Zhu
In this short note, we give a proof of the free energy part of the BKMP conjecture of C^3 proposed by Bouchard and Sulkowski [4]. Hence the proof of the full BKMP conjecture for th…
The Laplace transform of the cut-and-join equation of Mariño-Vafa formula and its applications
Shengmao Zhu
By the same method introduced in [9], we calculate the Laplace transform of the celebrated cut-and-join equation of Mariño-Vafa formula discovered by C. Liu, K. Liu and J. Zhou [17…