Letters in Mathematical Physics

, Volume 2, Issue 3, pp 247–252 | Cite as

The partition function of degenerate quadratic functional and Ray-Singer invariants

  • A. S. Schwarz
Article

Abstract

The partition function of degenerate quadratic functional is defined and studied. It is shown that analytic torsion and similar invariants can be interpreted as partition functions of quadratic functionals.

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References

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    Faddeev, L. and Popov, V., Usp. Fiz. Nauk 111, 427 (1973).Google Scholar
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    Faddeev, L., Teor. Math. Fiz. 1, 3 (1969).Google Scholar
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    Schwarz, A., LMP (to be published).Google Scholar
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    Ray, D. and Singer, I., Advances in Math. 7, 145 (1971).Google Scholar
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    Ray, D. and Singer, I., Ann. of Math. 98, 154 (1973).Google Scholar
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    Seeley, R., Amer. Math. Soc. Proc. Symp. Pure Math. 10, 288 (1967).Google Scholar

Copyright information

© D. Reidel Publishing Company 1978

Authors and Affiliations

  • A. S. Schwarz
    • 1
  1. 1.Dept. of Theoretical PhysicsMoscow Institute of Physical EngineeringMoscow, M-409U.S.S.R.

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