Aarhus University Seal / Aarhus Universitets segl

Bohr--Sommerfeld Lagrangians of moduli spaces of Higgs bundles

Research output: Working paper/Preprint Working paperResearch

Standard

Bohr--Sommerfeld Lagrangians of moduli spaces of Higgs bundles. / Biswas, Indranil; Gammelgaard, Niels Leth; Logares, Marina.

arXiv.org, 2014.

Research output: Working paper/Preprint Working paperResearch

Harvard

APA

Biswas, I., Gammelgaard, N. L., & Logares, M. (2014). Bohr--Sommerfeld Lagrangians of moduli spaces of Higgs bundles. arXiv.org. http://arxiv.org/abs/1409.6814

CBE

Biswas I, Gammelgaard NL, Logares M. 2014. Bohr--Sommerfeld Lagrangians of moduli spaces of Higgs bundles. arXiv.org.

MLA

Biswas, Indranil, Niels Leth Gammelgaard and Marina Logares Bohr--Sommerfeld Lagrangians of moduli spaces of Higgs bundles. arXiv.org. 2014., 7 p.

Vancouver

Biswas I, Gammelgaard NL, Logares M. Bohr--Sommerfeld Lagrangians of moduli spaces of Higgs bundles. arXiv.org. 2014 Sep 24.

Author

Biswas, Indranil ; Gammelgaard, Niels Leth ; Logares, Marina. / Bohr--Sommerfeld Lagrangians of moduli spaces of Higgs bundles. arXiv.org, 2014.

Bibtex

@techreport{4df1c79ce90847f0b4f3e675d036b422,
title = "Bohr--Sommerfeld Lagrangians of moduli spaces of Higgs bundles",
abstract = "Let $X$ be a compact connected Riemann surface of genus at least two. Let $M_H(r,d)$ denote the moduli space of semistable Higgs bundles on $X$ of rank $r$ and degree $d$. We prove that the compact complex Bohr-Sommerfeld Lagrangians of $M_H(r,d)$ are precisely the irreducible components of the nilpotent cone in $M_H(r,d)$. This generalizes to Higgs $G$-bundles and also to the parabolic Higgs bundles.",
keywords = "math.AG, math-ph, math.MP, math.SG, 14H60, 14H70, 53D12",
author = "Indranil Biswas and Gammelgaard, {Niels Leth} and Marina Logares",
year = "2014",
month = sep,
day = "24",
language = "English",
publisher = "arXiv.org",
type = "WorkingPaper",
institution = "arXiv.org",

}

RIS

TY - UNPB

T1 - Bohr--Sommerfeld Lagrangians of moduli spaces of Higgs bundles

AU - Biswas, Indranil

AU - Gammelgaard, Niels Leth

AU - Logares, Marina

PY - 2014/9/24

Y1 - 2014/9/24

N2 - Let $X$ be a compact connected Riemann surface of genus at least two. Let $M_H(r,d)$ denote the moduli space of semistable Higgs bundles on $X$ of rank $r$ and degree $d$. We prove that the compact complex Bohr-Sommerfeld Lagrangians of $M_H(r,d)$ are precisely the irreducible components of the nilpotent cone in $M_H(r,d)$. This generalizes to Higgs $G$-bundles and also to the parabolic Higgs bundles.

AB - Let $X$ be a compact connected Riemann surface of genus at least two. Let $M_H(r,d)$ denote the moduli space of semistable Higgs bundles on $X$ of rank $r$ and degree $d$. We prove that the compact complex Bohr-Sommerfeld Lagrangians of $M_H(r,d)$ are precisely the irreducible components of the nilpotent cone in $M_H(r,d)$. This generalizes to Higgs $G$-bundles and also to the parabolic Higgs bundles.

KW - math.AG

KW - math-ph

KW - math.MP

KW - math.SG

KW - 14H60, 14H70, 53D12

M3 - Working paper

BT - Bohr--Sommerfeld Lagrangians of moduli spaces of Higgs bundles

PB - arXiv.org

ER -