The Selberg zeta function and a new Kähler metric on the moduli space of punctured Riemann surfaces

L. A. Takhtajan; P. G. Zograf

doi:10.1016/0393-0440(88)90019-8

The Selberg zeta function and a new Kähler metric on the moduli space of punctured Riemann surfaces

L. A. Takhtajan
, P. G. Zograf

Mathematics

Stony Brook University

Steklov Mathematical Institute

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

A local index theorem for families of ∂̄-operators on Riemann surfaces with functures is proved. A new Kähler metric on the moduli space of punctured surfaces is described in terms of the Eisenstein-Maass series.

Original language	English
Pages (from-to)	551-570
Number of pages	20
Journal	Journal of Geometry and Physics
Volume	5
Issue number	4
DOIs	https://doi.org/10.1016/0393-0440(88)90019-8
State	Published - 1988

Keywords

Kähler metric
Selberg zeta function
moduli spaces
punctured Riemann surfaces

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10.1016/0393-0440(88)90019-8

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@article{5b6163e557534550b0d9bd5a98288408,

title = "The Selberg zeta function and a new K{\"a}hler metric on the moduli space of punctured Riemann surfaces",

abstract = "A local index theorem for families of {\=∂}-operators on Riemann surfaces with functures is proved. A new K{\"a}hler metric on the moduli space of punctured surfaces is described in terms of the Eisenstein-Maass series.",

keywords = "K{\"a}hler metric, Selberg zeta function, moduli spaces, punctured Riemann surfaces",

author = "Takhtajan, \{L. A.\} and Zograf, \{P. G.\}",

year = "1988",

doi = "10.1016/0393-0440(88)90019-8",

language = "English",

volume = "5",

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journal = "Journal of Geometry and Physics",

issn = "0393-0440",

publisher = "Elsevier B.V.",

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TY - JOUR

T1 - The Selberg zeta function and a new Kähler metric on the moduli space of punctured Riemann surfaces

AU - Takhtajan, L. A.

AU - Zograf, P. G.

PY - 1988

Y1 - 1988

N2 - A local index theorem for families of ∂̄-operators on Riemann surfaces with functures is proved. A new Kähler metric on the moduli space of punctured surfaces is described in terms of the Eisenstein-Maass series.

AB - A local index theorem for families of ∂̄-operators on Riemann surfaces with functures is proved. A new Kähler metric on the moduli space of punctured surfaces is described in terms of the Eisenstein-Maass series.

KW - Kähler metric

KW - Selberg zeta function

KW - moduli spaces

KW - punctured Riemann surfaces

UR - https://www.scopus.com/pages/publications/38249031700

U2 - 10.1016/0393-0440(88)90019-8

DO - 10.1016/0393-0440(88)90019-8

M3 - Article

SN - 0393-0440

VL - 5

SP - 551

EP - 570

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

IS - 4

ER -

The Selberg zeta function and a new Kähler metric on the moduli space of punctured Riemann surfaces

Abstract

Keywords

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