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The abelianization of the theta group in low genus

  • Steven H. Weintraub
Other
Part of the Lecture Notes in Mathematics book series (LNM, volume 1474)

Keywords

Riemann Surface Intersection Pairing Spin Structure Theta Function Determinant Line Bundle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [B]
    Brown, E. The Kervaire invariant of a manifold, Proc. Symp. Pure Math. (AMS) 22(1970), 65–71.CrossRefGoogle Scholar
  2. [I]
    Igusa, J.-I. On the graded ring of theta-constants, Am. J. Math. 86(1964), 219–246.MathSciNetCrossRefzbMATHGoogle Scholar
  3. [J]
    Johnson, D. Spin structures and quadratic forms on surfaces, J. London Math. Soc. (2) 22(1980), 365–373.MathSciNetCrossRefzbMATHGoogle Scholar
  4. [JM]
    Johnson, D. and Millson, J.J. Modular Lagrangians and the theta multiplier, to appear.Google Scholar
  5. [LMW]
    Lee, R., Miller, E. Y. and Weintraub, S.H. Rochlin invariants, theta functions, and the holonomy of some determinant line bundles, J. reine angew. Math. 392(1988), 187–218.MathSciNetzbMATHGoogle Scholar
  6. [LW1]
    Lee, R. and Weintraub, S.H. Cohomology of Sp 4(Z) and related groups and spaces, Topology 24(1985), 391–410.MathSciNetCrossRefzbMATHGoogle Scholar
  7. [LW2]
    Lee, R. and Weintraub, S.H. On the transformation law for theta-constants, J. Pure Appl. Algebra 44(1987), 273–285.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • Steven H. Weintraub
    • 1
  1. 1.Department of MathematicsLouisiana State UniversityBaton Rouge

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