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The abelianization of the theta group in low genus

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Algebraic Topology Poznań 1989

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1474))

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References

  1. Brown, E. The Kervaire invariant of a manifold, Proc. Symp. Pure Math. (AMS) 22(1970), 65–71.

    Article  Google Scholar 

  2. Igusa, J.-I. On the graded ring of theta-constants, Am. J. Math. 86(1964), 219–246.

    Article  MathSciNet  MATH  Google Scholar 

  3. Johnson, D. Spin structures and quadratic forms on surfaces, J. London Math. Soc. (2) 22(1980), 365–373.

    Article  MathSciNet  MATH  Google Scholar 

  4. Johnson, D. and Millson, J.J. Modular Lagrangians and the theta multiplier, to appear.

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  5. 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.

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  6. Lee, R. and Weintraub, S.H. Cohomology of Sp 4(Z) and related groups and spaces, Topology 24(1985), 391–410.

    Article  MathSciNet  MATH  Google Scholar 

  7. Lee, R. and Weintraub, S.H. On the transformation law for theta-constants, J. Pure Appl. Algebra 44(1987), 273–285.

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Stefan Jackowski Bob Oliver Krzystof Pawałowski

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© 1991 Springer-Verlag

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Weintraub, S.H. (1991). The abelianization of the theta group in low genus. In: Jackowski, S., Oliver, B., Pawałowski, K. (eds) Algebraic Topology Poznań 1989. Lecture Notes in Mathematics, vol 1474. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084759

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  • DOI: https://doi.org/10.1007/BFb0084759

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54098-4

  • Online ISBN: 978-3-540-47403-6

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