RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 SIGMA: Year: Volume: Issue: Page: Find

 SIGMA, 2018, Volume 14, 111, 22 pages (Mi sigma1410)

The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations

Arata Komyo

Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan

Abstract: In this paper, we study the moduli spaces of parabolic connections with a quadratic differential. We endow these moduli spaces with symplectic structures by using the fundamental 2-forms on the moduli spaces of parabolic connections (which are phase spaces of isomonodromic deformation systems). Moreover, we see that the moduli spaces of parabolic connections with a quadratic differential are equipped with structures of twisted cotangent bundles.

Keywords: parabolic connection; quadratic differential; isomonodromic deformation; twisted cotangent bundle.

 Funding Agency Grant Number Japan Society for the Promotion of Science 18J00245 The author is supported by Grant-in-Aid for JSPS Research Fellows Number 18J00245.

DOI: https://doi.org/10.3842/SIGMA.2018.111

Full text: PDF file (499 kB)
Full text: https://www.imath.kiev.ua/~sigma/2018/111/
References: PDF file   HTML file

Bibliographic databases:

ArXiv: 1710.03977
MSC: 14D20; 34M56
Received: January 23, 2018; in final form October 3, 2018; Published online October 13, 2018
Language:

Citation: Arata Komyo, “The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations”, SIGMA, 14 (2018), 111, 22 pp.

Citation in format AMSBIB
\Bibitem{Kom18} \by Arata~Komyo \paper The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations \jour SIGMA \yr 2018 \vol 14 \papernumber 111 \totalpages 22 \mathnet{http://mi.mathnet.ru/sigma1410} \crossref{https://doi.org/10.3842/SIGMA.2018.111} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000447229200002} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85055775341}