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On Noether’s connection

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Abstract

In this article, we show that the curvature of the Noether connection is asymptotic to the Weil–Petersson form.

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References

  1. Arbarello, E., Cornalba, M., Griffiths, P.A., Harris, J.: Geometry of algebraic curves. Vol. I, volume 267 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Springer-Verlag, New York (1985)

  2. Borthwick D. and Uribe A. (2000). Nearly Kählerian embeddings of symplectic manifolds. Asian J. Math. 4(3): 599–620

    MATH  MathSciNet  Google Scholar 

  3. D’Hoker E. and Phong D.H. (1986). On determinants of Laplacians on Riemann surfaces. Comm. Math. Phys. 104: 537–545

    Article  MATH  MathSciNet  Google Scholar 

  4. Griffiths, P., Harris J.: Principles of algebraic geometry. J. Wiley and Sons, Inc. (1994)

  5. Hejhal D. (1978). Monodromy groups and Poincaré series. Bull. AMS 84(3): 339–376

    Article  MATH  MathSciNet  Google Scholar 

  6. McIntyre A. and Takhtajan L. (2006). Holomorphic factorization of determinants of Laplacians on Riemann surfaces and a higher genus generalization of Kronecker’s first limit formula. Geom. Funct. Anal. 16(6): 1291–1323

    Article  MATH  MathSciNet  Google Scholar 

  7. Petersson H. (1949). Über Weierstrasspunkte und die expliziten Darstellungen der automorphen Formen von reeler Dimension. Math. Z. 52: 32–59

    Article  MATH  MathSciNet  Google Scholar 

  8. Sarnak P. (1987). Determinants of Laplacians. Comm. Math. Phys. 110: 113–120

    Article  MATH  MathSciNet  Google Scholar 

  9. Simon D. (1997). Semiclassical determinants of Schrödinger operators on bundles with curvature of low rank. J. Math. Phys. 38(8): 4389–4397

    Article  MATH  MathSciNet  Google Scholar 

  10. Smit D.-J. (1988). String theory and algebraic geometry of moduli spaces. Comm. Math. Phys 114: 645–685

    Article  MATH  MathSciNet  Google Scholar 

  11. Wolpert, S.: Weil-Petersson perspectives. In: Problems on mapping class groups and related topics. Proc. Sympos. Pure Math., 74, Amer. Math. Soc., Providence, RI, pp. 269–282 (2006)

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Authors and Affiliations

  1. Department of Mathematics, University of Western Ontario, London, ON, Canada, N6A 5B7

    Ajneet Dhillon & Tatyana Foth

Authors
  1. Ajneet Dhillon
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  2. Tatyana Foth
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Correspondence to Ajneet Dhillon.

Additional information

A. Dhillon and T. Foth supported in part by NSERC.

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Dhillon, A., Foth, T. On Noether’s connection. Ann Glob Anal Geom 33, 337–341 (2008). https://doi.org/10.1007/s10455-007-9089-1

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  • DOI: https://doi.org/10.1007/s10455-007-9089-1

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