A note on unfolding manifolds of meromorphic connections on the Riemann sphere with unramified singularities

Abstract

This note explains a construction of a Poisson manifold whose symplectic foliation describes a deformation of a moduli space of meromorphic connections with unramified irregular singularities. In particular, this deformation of the moduli space corresponds to the unfolding of irregular singularities of the meromorphic connections. This is an announcement of some results in the forthcoming paper.

This note is submitted to RIMS Kokyuroku Bessatsu, a Festschrift volume in Honor of Yoshitsugu Takei. Comments are welcome