Abstract:
This article investigates various properties of a natural Kähler metric on the space of moduli of stable vector bundles over a compact Riemann surface, of the Narasimhan–Seshadri connection, and of the curvature form of a canonical line bundle.
Bibliography: 22 titles.
Citation:
P. G. Zograf, L. A. Takhtadzhyan, “On the geometry of moduli spaces of vector bundles over a Riemann surface”, Math. USSR-Izv., 35:1 (1990), 83–100
\Bibitem{ZogTak89}
\by P.~G.~Zograf, L.~A.~Takhtadzhyan
\paper On the geometry of moduli spaces of vector bundles over a~Riemann surface
\jour Math. USSR-Izv.
\yr 1990
\vol 35
\issue 1
\pages 83--100
\mathnet{http://mi.mathnet.ru/eng/im1272}
\crossref{https://doi.org/10.1070/IM1990v035n01ABEH000687}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1018746}
\zmath{https://zbmath.org/?q=an:0715.53048|0689.53037}
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https://www.mathnet.ru/eng/im1272
https://doi.org/10.1070/IM1990v035n01ABEH000687
https://www.mathnet.ru/eng/im/v53/i4/p753
This publication is cited in the following 8 articles:
Claudio Meneses, Leon A. Takhtajan, “Logarithmic Connections, WZNW Action, and Moduli of Parabolic Bundles on the Sphere”, Commun. Math. Phys., 387:2 (2021), 649
Jørgen Andersen, William Petersen, “Asymptotic expansions of the Witten–Reshetikhin–Turaev invariants of mapping tori I”, Trans. Amer. Math. Soc., 372:8 (2018), 5713
Marcel Bökstedt, N.M.. Romão, “On the curvature of vortex moduli spaces”, Math. Z, 2014
Leon A. Takhtajan, Peter Zograf, “The first Chern form on moduli of parabolic bundles”, Math. Ann., 341:1 (2008), 113
José M. Isidro, “Twisted K-theory in g>1 from D-branes”, Journal of Geometry and Physics, 42:4 (2002), 325
Jürgen Jost, Xiao-Wei Peng, “Group actions, gauge transformations, and the calculus of variations”, Math Ann, 293:1 (1992), 595
M. Knecht, S. Lazzarini, R. Stora, “On holomorphic factorization for free conformal fields II”, Physics Letters B, 273:1-2 (1991), 63
Jürgen Jost, Xiao-Wei Peng, Lecture Notes in Mathematics, 1481, Global Differential Geometry and Global Analysis, 1991, 79
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