104 citations · 376 across the 21 of their papers we have counts for
22 papers
Applications of the Liouville symplectic form on the cotangent bundle of a loop group
Indranil Biswas, Michi-aki Inaba, Arata Komyo +2
Let be a semisimple, simply connected, affine algebraic group defined over . Consider the Liouville symplectic structure on the total space of the cotang…
Moduli spaces of framed logarithmic and parabolic connections on a Riemann surface
Indranil Biswas, Michi-aki Inaba, Arata Komyo +1
We construct moduli spaces of framed logarithmic connections and also moduli spaces of framed parabolic connections. It is shown that these moduli spaces possess a natural algebrai…
Canonical coordinates for moduli spaces of rank two irregular connections on curves
Arata Komyo, Frank Loray, Masa-Hiko Saito +1
In this paper, we study a geometric counterpart of the cyclic vector which allow us to put a rank 2 meromorphic connection on a curve into a ``companion'' normal form. This allow u…
Moduli space of irregular rank two parabolic bundles over the Riemann sphere and its compactification
Arata Komyo, Frank Loray, Masa-Hiko Saito
In this paper, we study rank 2 (quasi) parabolic bundles over the Riemann sphere with an effective divisor and these moduli spaces. First we consider a criterium when a parabolic b…
On the moduli spaces of framed logarithmic connections on a Riemann surface
Indranil Biswas, Michi-aki Inaba, Arata Komyo +1
We describe some results on moduli space of logarithmic connections equipped with framings on a -pointed compact Riemann surface.
Moduli of regular singular parabolic connections of spectral type on smooth projective curves
Michi-aki Inaba, Masa-Hiko Saito
We define a moduli space of stable regular singular parabolic connections of spectral type on smooth projective curves and show the smoothness of the moduli space and give a relati…