P. G. Zograf, L. A. Takhtadzhyan, “A local index theorem for families of $\bar \partial$-operators on Riemann surfaces”, Russian Math. Surveys, 42:6 (1987), 169

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Russian Mathematical Surveys, 1987, Volume 42, Issue 6, Pages 169–190
DOI: https://doi.org/10.1070/RM1987v042n06ABEH001501 (Mi rm2694)

This article is cited in 17 scientific papers (total in 17 papers)

A local index theorem for families of

\bar{\partial}

$\bar \partial$ -operators on Riemann surfaces

P. G. Zograf, L. A. Takhtadzhyan

English version PDF (1054 kB) Citations (17) Russian version article

References:

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DOI: https://doi.org/10.1070/RM1987v042n06ABEH001501

Received: 18.03.1987

Bibliographic databases:

Document Type: Article

UDC: 517.43

MSC: 47A53, 47F05, 30F10

Language: English

Original paper language: Russian

Citation: P. G. Zograf, L. A. Takhtadzhyan, “A local index theorem for families of

\bar{\partial}

$\bar \partial$ -operators on Riemann surfaces”, Russian Math. Surveys, 42:6 (1987), 169–190

Citation in format AMSBIB

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\by P.~G.~Zograf, L.~A.~Takhtadzhyan

\paper A~local index theorem for families of $\bar \partial$-operators on Riemann surfaces

\jour Russian Math. Surveys

\yr 1987

\vol 42

\issue 6

\pages 169--190

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Linking options:

https://www.mathnet.ru/eng/rm2694

https://doi.org/10.1070/RM1987v042n06ABEH001501

https://www.mathnet.ru/eng/rm/v42/i6/p133

This publication is cited in the following 17 articles:

Indranil Biswas, Alessandro Ghigi, Carolina Tamborini, “Theta Bundle, Quillen Connection and the Hodge Theoretic Projective Structure”, Commun. Math. Phys., 405:10 (2024)
Johan Henriksson, Brian McPeak, “Averaging over codes and an SU(2) modular bootstrap”, J. High Energ. Phys., 2023:11 (2023)
Indranil Biswas, Filippo Francesco Favale, Gian Pietro Pirola, Sara Torelli, “Quillen connection and the uniformization of Riemann surfaces”, Annali di Matematica, 201:6 (2022), 2825
Arideep Saha, “Determinant Bundle Over the Universal Moduli Space of Principal Bundles Over the Teichmüller Space”, Indian J Pure Appl Math, 49:1 (2018), 129
Indranil Biswas, Georg Schumacher, “Differential geometry of moduli spaces of quiver bundles”, Journal of Geometry and Physics, 118 (2017), 51
Georg Schumacher, Stefano Trapani, “Weil-Petersson geometry for families of hyperbolic conical Riemann surfaces”, Michigan Math. J., 60:1 (2011)
Colin Guillarmou, Sergiu Moroianu, Jinsung Park, “Eta invariant and Selberg zeta function of odd type over convex co-compact hyperbolic manifolds”, Advances in Mathematics, 225:5 (2010), 2464
Indranil Biswas, Georg Schumacher, “Coupled vortex equations and moduli: deformation theoretic approach and Kähler geometry”, Math Ann, 2008
Andrew Mcintyre, Lee-Peng Teo, “Holomorphic Factorization of Determinants of Laplacians using Quasi-Fuchsian Uniformization”, Lett Math Phys, 83:1 (2008), 41
Young-Heon Kim, “Holomorphic extensions of Laplacians and their determinants”, Advances in Mathematics, 211:2 (2007), 517
Yulia Klochko, Alexey Kokotov, “Genus one polyhedral surfaces, spaces of quadratic differentials on tori and determinants of Laplacians”, manuscripta math., 122:2 (2007), 195
Scott A. Wolpert, “Cusps and the family hyperbolic metric”, Duke Math. J., 138:3 (2007)
Reynir Axelsson, Georg Schumacher, “Kähler geometry of Douady spaces”, manuscripta math., 121:3 (2006), 277
Indranil Biswas, Subhashis Nag, Dennis Sullivan, “Determinant bundles, Quillen metrics and Mumford isomorphisms over the universal commensurability Teichmüller space”, Acta Math, 176:2 (1996), 145
Leon Takhtajan, NATO ASI Series, 295, New Symmetry Principles in Quantum Field Theory, 1992, 383
M. Knecht, S. Lazzarini, R. Stora, “On holomorphic factorization for free conformal fields II”, Physics Letters B, 273:1-2 (1991), 63
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

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	651
Russian version PDF:	216
English version PDF:	53
References:	95
First page:	1

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