In this paper, we continue our investigation of the triple Hodge integrals satisfying the Calabi–
Yau condition. For the tau-functions, which generate these integrals, we derive the complete …

In this paper we introduce a new family of the KP tau-functions. This family can be described
by a deformation of the generalized Kontsevich matrix model. We prove that the simplest …

We generalise a result of Kazarian regarding Kadomtsev-Petviashvili integrability for single
Hodge integrals to general cohomological field theories related to Hurwitz-type counting …

A bstract The generalized Kontsevich model (GKM) is a one-matrix model with arbitrary
potential. Its partition function belongs to the KP hierarchy. When the potential is monomial, it …

We advertise elementary symmetric polynomials $ e_i $ as the natural basis for generating
series $ A_ {g, n} $ of intersection numbers of genus g and n marked points. Closed …

Cycles of curves, cover counts, and central invariants Page 1 Cycles of curves, cover counts,
and central invariants Academisch proefschrift ter verkrijging van de graad van doctor aan de …

The Brezin-Gross-Witten (BGW) model is one of the basic examples in the class of non-
eigenvalue unitary matrix models. The generalized BGW tau-function $\tau_N $ was …

The purpose of this paper is to study the genus-g degree-g Ln-constraints in Virasoro
conjecture for Hodge integrals over smooth projective varieties. Results consist of the …

We give a proof of Alexandrov's conjecture on a formula connecting the Kontsevich-Witten
and Hodge tau-functions using only the Virasoro operators. This formula has been …