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Reidemeister torsion of a symplectic complex. (English) Zbl 1206.57028

Summary: We consider a claim mentioned in [E. Witten, Commun. Math. Phys. 141, No. 1, 153–209 (1991; Zbl 0762.53063), p. 187] about the relation between a symplectic chain complex with \(\omega\)-compatible bases and Reidemeister Torsion of it. This is an explanation of it.

MSC:

57Q10 Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc.
57R30 Foliations in differential topology; geometric theory
32G15 Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables)
57R17 Symplectic and contact topology in high or arbitrary dimension

Citations:

Zbl 0762.53063
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Full Text: Euclid

References:

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