Harmonic maps to Teichmüller space

Georgios Daskalopoulos; Ludmil Katzarkov; Richard Wentworth

doi:10.4310/MRL.2000.v7.n1.a12

Harmonic maps to Teichmüller space

Georgios Daskalopoulos, Ludmil Katzarkov, Richard Wentworth

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

3 Scopus citations

Abstract

We give sufficient conditions for the existence of equivariant harmonic maps from the universal cover of a Riemann surface B to the Teichmüller space of a genus g ≥ 2 surface ∑. The condition is in terms of the representation of the fundamental group of B to the mapping class group of ∑. The metric on Teichmüller space is chosen to be the Kähler hyperbolic metric. Examples of such representations arise from symplectic Lefschetz fibrations.

Original language	English (US)
Pages (from-to)	133-146
Number of pages	14
Journal	Mathematical Research Letters
Volume	7
Issue number	1
DOIs	https://doi.org/10.4310/MRL.2000.v7.n1.a12
State	Published - 2000
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.4310/MRL.2000.v7.n1.a12

Fingerprint Dive into the research topics of 'Harmonic maps to Teichmüller space'. Together they form a unique fingerprint.

Cite this

@article{d8163381cf614e449ba1927363abd98c,

title = "Harmonic maps to Teichm{\"u}ller space",

abstract = "We give sufficient conditions for the existence of equivariant harmonic maps from the universal cover of a Riemann surface B to the Teichm{\"u}ller space of a genus g ≥ 2 surface ∑. The condition is in terms of the representation of the fundamental group of B to the mapping class group of ∑. The metric on Teichm{\"u}ller space is chosen to be the K{\"a}hler hyperbolic metric. Examples of such representations arise from symplectic Lefschetz fibrations.",

author = "Georgios Daskalopoulos and Ludmil Katzarkov and Richard Wentworth",

year = "2000",

doi = "10.4310/MRL.2000.v7.n1.a12",

language = "English (US)",

volume = "7",

pages = "133--146",

journal = "Mathematical Research Letters",

issn = "1073-2780",

publisher = "International Press of Boston, Inc.",

number = "1",

}

TY - JOUR

T1 - Harmonic maps to Teichmüller space

AU - Daskalopoulos, Georgios

AU - Katzarkov, Ludmil

AU - Wentworth, Richard

PY - 2000

Y1 - 2000

N2 - We give sufficient conditions for the existence of equivariant harmonic maps from the universal cover of a Riemann surface B to the Teichmüller space of a genus g ≥ 2 surface ∑. The condition is in terms of the representation of the fundamental group of B to the mapping class group of ∑. The metric on Teichmüller space is chosen to be the Kähler hyperbolic metric. Examples of such representations arise from symplectic Lefschetz fibrations.

AB - We give sufficient conditions for the existence of equivariant harmonic maps from the universal cover of a Riemann surface B to the Teichmüller space of a genus g ≥ 2 surface ∑. The condition is in terms of the representation of the fundamental group of B to the mapping class group of ∑. The metric on Teichmüller space is chosen to be the Kähler hyperbolic metric. Examples of such representations arise from symplectic Lefschetz fibrations.

UR - http://www.scopus.com/inward/record.url?scp=0034349833&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034349833&partnerID=8YFLogxK

U2 - 10.4310/MRL.2000.v7.n1.a12

DO - 10.4310/MRL.2000.v7.n1.a12

M3 - Article

AN - SCOPUS:0034349833

VL - 7

SP - 133

EP - 146

JO - Mathematical Research Letters

JF - Mathematical Research Letters

SN - 1073-2780

IS - 1

ER -

Harmonic maps to Teichmüller space

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this