activity
20142026
most citedHigher Airy structures, W algebras and topological recursion

11 citations · 62 across the 14 of their papers we have counts for

collaborators

14 papers

math.AG2026

Refined lattice point counting on the moduli space of Klein surfaces

Nitin Kumar Chidambaram, Elba Garcia-Failde, Alessandro Giacchetto +1

We introduce the moduli space of metric Möbius graphs, which extend ribbon graphs to the non-orientable world. This space contains both the moduli space of Riemann surfaces and the…

math.AG2025★ 1 cited

Theta classes: generalized topological recursion, integrability and -constraints

Vincent Bouchard, Nitin K. Chidambaram, Alessandro Giacchetto +1

We study the intersection theory of the -classes, where and , which are cohomological field theories obtained as the top degrees of Chiodo clas…

math.CO2024

-Hurwitz numbers from refined topological recursion

Nitin Kumar Chidambaram, Maciej Dołęga, Kento Osuga

We prove that single -weighted -Hurwitz numbers with internal faces are computed by refined topological recursion on a rational spectral curve, for certain rationa…

math-ph2024★ 1 cited

Whittaker vectors at finite energy scale, topological recursion and Hurwitz numbers

Gaëtan Borot, Nitin Kumar Chidambaram, Giacomo Umer

We upgrade the results of Borot--Bouchard--Chidambaram--Creutzig to show that the Gaiotto vector in pure supersymmetric gauge theory admits an analytic conti…

math.AG2024

-Hurwitz numbers from Whittaker vectors for -algebras

Nitin K. Chidambaram, Maciej Dołęga, Kento Osuga

We show that -Hurwitz numbers with a rational weight are obtained by taking an explicit limit of a Whittaker vector for the -algebra of type . Our result is a va…

math.AG2023★ 3 cited

Taking limits in topological recursion

Gaëtan Borot, Vincent Bouchard, Nitin Kumar Chidambaram +2

When does topological recursion applied to a family of spectral curves commute with taking limits? This problem is subtle, especially when the ramification structure of the spectra…

math.AG2022★ 8 cited

Relations on and the negative -spin Witten conjecture

Nitin Kumar Chidambaram, Elba Garcia-Failde, Alessandro Giacchetto

We construct and study various properties of a negative spin version of the Witten -spin class. By taking the top Chern class of a certain vector bundle on the moduli space of…

math.AG2022★ 4 cited

Shifted Witten classes and topological recursion

Séverin Charbonnier, Nitin Kumar Chidambaram, Elba Garcia-Failde +1

The Witten -spin class defines a non-semisimple cohomological field theory. Pandharipande, Pixton and Zvonkine studied two special shifts of the Witten class along two semisimpl…

math-ph2021★ 9 cited

Whittaker vectors for -algebras from topological recursion

Gaëtan Borot, Vincent Bouchard, Nitin Kumar Chidambaram +1

We identify Whittaker vectors for -modules with partition functions of higher Airy structures. This implies that Gaiotto vectors, describing the fundam…

math.AG2020★ 1 cited

Windows for cdgas

Nitin K. Chidambaram, David Favero

We study a Fourier-Mukai kernel associated to a GIT wall-crossing for arbitrarily singular (not necessarily reduced or irreducible) affine varieties over any field. This kernel is…

math.AG2019★ 6 cited

Kernels for Grassmann Flops

Matthew R. Ballard, Nitin K. Chidambaram, David Favero +2

We develop a generalization of the -construction of the first author, Diemer, and the third author for Grassmann flips. This generalization provides a canonical idempotent kerne…

math-ph2018★ 11 cited

Higher Airy structures, W algebras and topological recursion

Gaëtan Borot, Vincent Bouchard, Nitin K. Chidambaram +2

We define higher quantum Airy structures as generalizations of the Kontsevich-Soibelman quantum Airy structures by allowing differential operators of arbitrary order (instead of on…

math-ph2016★ 8 cited

Quantizing Weierstrass

Vincent Bouchard, Nitin K. Chidambaram, Tyler Dauphinee

We study the connection between the Eynard-Orantin topological recursion and quantum curves for the family of genus one spectral curves given by the Weierstrass equation. We constr…

hep-th2014★ 10 cited

Canonical structure of the E10 model and supersymmetry

Axel Kleinschmidt, Hermann Nicolai, Nitin K. Chidambaram

A coset model based on the hyperbolic Kac-Moody algebra E10 has been conjectured to underly eleven-dimensional supergravity and M theory. In this note we study the canonical struct…