Infinitesimal change of stable basis
- Author(s): Gorsky, E
- Neguț, A
- et al.
Published Web Locationhttps://doi.org/10.1007/s00029-017-0327-5
© 2017, Springer International Publishing. The purpose of this note is to study the Maulik–Okounkov K-theoretic stable basis for the Hilbert scheme of points on the plane, which depends on a “slope” m∈ R. When m=ab is rational, we study the change of stable matrix from slope m- ε to m+ ε for small ε> 0 , and conjecture that it is related to the Leclerc–Thibon conjugation in the q-Fock space for Uqgl^ b. This is part of a wide framework of connections involving derived categories of quantized Hilbert schemes, modules for rational Cherednik algebras and Hecke algebras at roots of unity.