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The partition function of degenerate quadratic functional and Ray-Singer invariants. (English) Zbl 0383.70017

MSC:
70G45 Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
81T08 Constructive quantum field theory
53C05 Connections, general theory
37C25 Fixed points and periodic points of dynamical systems; fixed-point index theory, local dynamics
58J40 Pseudodifferential and Fourier integral operators on manifolds
58J60 Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.)
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References:
[1] Faddeev, L. and Popov, V., Usp. Fiz. Nauk 111, 427 (1973).
[2] Faddeev, L., Teor. Math. Fiz. 1, 3 (1969).
[3] Schwarz, A., LMP (to be published).
[4] Ray, D. and Singer, I., Advances in Math. 7, 145 (1971). · Zbl 0239.58014 · doi:10.1016/0001-8708(71)90045-4
[5] Ray, D. and Singer, I., Ann. of Math. 98, 154 (1973). · Zbl 0267.32014 · doi:10.2307/1970909
[6] Seeley, R., Amer. Math. Soc. Proc. Symp. Pure Math. 10, 288 (1967).
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