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

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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

  1. Faddeev, L. and Popov, V., Usp. Fiz. Nauk 111, 427 (1973).

    Google Scholar 

  2. Faddeev, L., Teor. Math. Fiz. 1, 3 (1969).

    Google Scholar 

  3. Schwarz, A., LMP (to be published).

  4. Ray, D. and Singer, I., Advances in Math. 7, 145 (1971).

    Google Scholar 

  5. Ray, D. and Singer, I., Ann. of Math. 98, 154 (1973).

    Google Scholar 

  6. Seeley, R., Amer. Math. Soc. Proc. Symp. Pure Math. 10, 288 (1967).

    Google Scholar 

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Authors and Affiliations

  1. Dept. of Theoretical Physics, Moscow Institute of Physical Engineering, Kashirsdoe sk1, 115 409, Moscow, M-409, U.S.S.R.

    A. S. Schwarz

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  1. A. S. Schwarz
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Schwarz, A.S. The partition function of degenerate quadratic functional and Ray-Singer invariants. Letters in Mathematical Physics 2, 247–252 (1978). https://doi.org/10.1007/BF00406412

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  • DOI: https://doi.org/10.1007/BF00406412

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