Tarasov, VitalyVarchenko, Alexander2023-01-302023-01-302021-06Tarasov, V., & Varchenko, A. (2021). Equivariant quantum differential equation, Stokes bases, and K-theory for a projective space. European Journal of Mathematics, 7(2), 706–728. https://doi.org/10.1007/s40879-021-00455-y2199-675X, 2199-6768https://hdl.handle.net/1805/31048We consider the equivariant quantum differential equation for the projective space $$P^{n-1}$$and introduce a compatible system of difference equations. We prove an equivariant gamma theorem for $$P^{n-1}$$, which describes the asymptotics of the differential equation at its regular singular point in terms of the equivariant characteristic gamma class of the tangent bundle of $$P^{n-1}$$. We describe the Stokes bases of the differential equation at its irregular singular point in terms of the exceptional bases of the equivariant K-theory algebra of $$P^{n-1}$$and a suitable braid group action on the set of exceptional bases. Our results are an equivariant version of the well-known results of Dubrovin and Guzzetti.en-USPublisher Policy34M40Braid group actionEquivariant quantum differential equationArticle