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Tau function and moduli of differentials. / Korotkin, D.; Zograf, P.

In: Mathematical Research Letters, Vol. 18, No. 3, 01.01.2011, p. 447-458.

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

Harvard

Korotkin, D & Zograf, P 2011, 'Tau function and moduli of differentials', Mathematical Research Letters, vol. 18, no. 3, pp. 447-458. https://doi.org/10.4310/MRL.2011.v18.n3.a6

APA

Korotkin, D., & Zograf, P. (2011). Tau function and moduli of differentials. Mathematical Research Letters, 18(3), 447-458. https://doi.org/10.4310/MRL.2011.v18.n3.a6

Vancouver

Korotkin D, Zograf P. Tau function and moduli of differentials. Mathematical Research Letters. 2011 Jan 1;18(3):447-458. https://doi.org/10.4310/MRL.2011.v18.n3.a6

Author

Korotkin, D. ; Zograf, P. / Tau function and moduli of differentials. In: Mathematical Research Letters. 2011 ; Vol. 18, No. 3. pp. 447-458.

BibTeX

@article{4e0a7d8512964895816c9c7d46411302,
title = "Tau function and moduli of differentials",
abstract = "The tau function on the moduli space of generic holomorphic 1-differentials on complex algebraic curves is interpreted as a section of a line bundle on the projectivized Hodge bundle over the moduli space of stable curves. The asymptotics of the tau function near the boundary of the moduli space of generic 1-differentials is computed, and an explicit expression for the pullback of the Hodge class on the projectivized Hodge bundle in terms of the tautological class and the classes of boundary divisors is derived. This expression is used to clarify the geometric meaning of the Kontsevich-Zorich formula for the sum of the Lyapunov exponents associated with the Teichm{\"u}ller flow on the Hodge bundle. {\textcopyright} 2011 International Press.",
author = "D. Korotkin and P. Zograf",
year = "2011",
month = jan,
day = "1",
doi = "10.4310/MRL.2011.v18.n3.a6",
language = "English",
volume = "18",
pages = "447--458",
journal = "Mathematical Research Letters",
issn = "1073-2780",
publisher = "International Press of Boston, Inc.",
number = "3",

}

RIS

TY - JOUR

T1 - Tau function and moduli of differentials

AU - Korotkin, D.

AU - Zograf, P.

PY - 2011/1/1

Y1 - 2011/1/1

N2 - The tau function on the moduli space of generic holomorphic 1-differentials on complex algebraic curves is interpreted as a section of a line bundle on the projectivized Hodge bundle over the moduli space of stable curves. The asymptotics of the tau function near the boundary of the moduli space of generic 1-differentials is computed, and an explicit expression for the pullback of the Hodge class on the projectivized Hodge bundle in terms of the tautological class and the classes of boundary divisors is derived. This expression is used to clarify the geometric meaning of the Kontsevich-Zorich formula for the sum of the Lyapunov exponents associated with the Teichmüller flow on the Hodge bundle. © 2011 International Press.

AB - The tau function on the moduli space of generic holomorphic 1-differentials on complex algebraic curves is interpreted as a section of a line bundle on the projectivized Hodge bundle over the moduli space of stable curves. The asymptotics of the tau function near the boundary of the moduli space of generic 1-differentials is computed, and an explicit expression for the pullback of the Hodge class on the projectivized Hodge bundle in terms of the tautological class and the classes of boundary divisors is derived. This expression is used to clarify the geometric meaning of the Kontsevich-Zorich formula for the sum of the Lyapunov exponents associated with the Teichmüller flow on the Hodge bundle. © 2011 International Press.

UR - http://www.scopus.com/inward/record.url?scp=79957826685&partnerID=8YFLogxK

U2 - 10.4310/MRL.2011.v18.n3.a6

DO - 10.4310/MRL.2011.v18.n3.a6

M3 - Article

AN - SCOPUS:79957826685

VL - 18

SP - 447

EP - 458

JO - Mathematical Research Letters

JF - Mathematical Research Letters

SN - 1073-2780

IS - 3

ER -

ID: 127186051