Dubrovnik VI – Geometric Topology

September 30 – October 7, 2007


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ABSTRACTS

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Yasar Sözen
Fatih University, Istanbul, Turkey

On Reidemeister torsion of a symplectic complex

Let $S$ be a compact surface with genus at least 2. We consider the Teichmüller space $\teich(S)$ of $S$. By fixing a maximal geodesic lamination, in [1] we showed the relation between the Weil-Petersson and Thurston symplectic forms. In this talk, we will explain the relation between Reidemeister torsion and Pfaffian of Weil-Petersson form and hence Pfaffian of Thurston symplectic form.

REFERENCES

[1] Y. Sözen, F. Bonahon. Weil-Petersson and Thurston symplectic forms, Duke Math. Jour., 108 No.3 (2001), 581–597.
[2] Y. Sözen. Reidemeister Torsion of a Symplectic Complex, Osaka Jour. of Mathematics, to appear.
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