A note on Reidemeister torsion and pleated surfaces

作者：Sozen Yasar^*

来源：Journal of Knot Theory and Its Ramifications, 2014, 23(3): 1450015.

DOI：10.1142/S0218216514500151

• Reidemeister torsion
• C-symplectic chain complex
• Weil-Petersson form
• Thurston symplectic form
• pleated surfaces

This paper uses the notion of C-symplectic chain complex and proves an explicit formula for the Reidemeister torsion of an arbitrary C-symplectic chain complex in terms of intersection forms of the homologies. In applications, the formula is applied to closed manifolds and also compact manifolds with boundary by using the homologies with coefficients in complex numbers field. Moreover, an explicit formula for the Reidemeister torsion of representations from the fundamental group of a closed oriented hyperbolic surface to PSL

• 出版日期2014-3