We give explicit expressions for the finite frequency greybody factor, quasinormal modes,
and Love numbers of Kerr black holes by computing the exact connection coefficients of the …

We present new analytic results on black hole perturbation theory. Our results are based on
a novel relation to four-dimensional N= 2 N= 2 supersymmetric gauge theories. We propose …

A bstract We study various non-perturbative approaches to the quantization of the Seiberg-
Witten curve of\(\mathcal {N}\)= 2, SU (2) super Yang-Mills theory, which is closely related to …

We present an explicit formula for the Stokes automorphism acting on the topological string
partition function. When written in terms of the dual partition function, our formula implies that …

A bstract We find new bilinear relations for the partition functions of the U (N) k× U (N+ M)− k
ABJ theory with two parameter mass deformation (m 1, m 2), which generalize the\(\mathfrak …

We examine two types of half-BPS surface defects $-$ regular monodromy surface defect
and canonical surface defect $-$ in four-dimensional gauge theory with $\mathcal {N}= 2 …

We propose that the grand canonical topological string partition functions satisfy finite-
difference equations in the closed string moduli. In the case of genus one mirror curve, these …

We propose a connection between 3d-5d exponential networks and exact WKB for
difference equations associated to five dimensional Seiberg-Witten curves, or equivalently …

We study four-dimensional supersymmetric gauge theory in the presence of surface and
point-like defects (blowups) and propose an identity relating partition functions at different …

We show that the all-orders WKB periods of one-dimensional quantum mechanical
oscillators are governed by the refined holomorphic anomaly equations of topological string …