Generalized Airy Functions and Givental's R-matrices for Projective Spaces and Witten's Class
Appears in collection : Summer School 2021: Enumerative Geometry, Physics and Representation Theory
We call generalized Airy functions particular solutions of the differential equations f(n)(x)=xaf(x). We show that asymptotic expansions of generalized Airy functions contain coefficients of Givental's R-matrices both for Gromov-Witten invariants of projective spaces and for Witten's r-spin classes. Joint work with Sybille Rosset.
