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