On the moduli spaces of framed logarithmic connections on a Riemann surface

Indranil Biswas; Michi-aki Inaba; Arata Komyo; Masa-Hiko Saito

doi:10.5802/crmath.199

Complex analysis and geometry

On the moduli spaces of framed logarithmic connections on a Riemann surface

Indranil Biswas ¹; Michi-aki Inaba ²; Arata Komyo ³; Masa-Hiko Saito ⁴

¹ School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
² Department of Mathematics, Kyoto University, Kyoto 606-8502, Japan
³ Center for Mathematical and Data Sciences, Kobe University, 1-1 Rokkodai-cho, Nada-ku, Kobe, 657-8501, Japan
⁴ Department of Mathematics, Graduate School of Science, Kobe University, Kobe, Rokko, 657-8501, Japan

Comptes Rendus. Mathématique, Volume 359 (2021) no. 5, pp. 617-624.

Abstract

We describe some results on moduli space of logarithmic connections equipped with framings on a $n$ -pointed compact Riemann surface.

Received: 2020-12-28
Accepted: 2021-03-22
Published online: 2021-07-13

DOI: 10.5802/crmath.199

Classification: 53D30, 14D20, 53B15

Author's affiliations:

Indranil Biswas ¹; Michi-aki Inaba ²; Arata Komyo ³; Masa-Hiko Saito ⁴

¹ School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
² Department of Mathematics, Kyoto University, Kyoto 606-8502, Japan
³ Center for Mathematical and Data Sciences, Kobe University, 1-1 Rokkodai-cho, Nada-ku, Kobe, 657-8501, Japan
⁴ Department of Mathematics, Graduate School of Science, Kobe University, Kobe, Rokko, 657-8501, Japan

License:

CC-BY 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

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     author = {Indranil Biswas and Michi-aki Inaba and Arata Komyo and Masa-Hiko Saito},
     title = {On the moduli spaces of framed logarithmic connections on a {Riemann} surface},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {617--624},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {359},
     number = {5},
     year = {2021},
     doi = {10.5802/crmath.199},
     language = {en},
}

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Indranil Biswas; Michi-aki Inaba; Arata Komyo; Masa-Hiko Saito. On the moduli spaces of framed logarithmic connections on a Riemann surface. Comptes Rendus. Mathématique, Volume 359 (2021) no. 5, pp. 617-624. doi : 10.5802/crmath.199. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.199/

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