A Cheeger-Muller theorem for symmetric bilinear torsions

作者：Su Guaagxiang^*; Zhang Weiping

来源：Chinese Annals of Mathematics Series B, 2008, 29(4): 385-424.

DOI：10.1007/s11401-007-0307-8

• analytic torsion
• symmetric bilinear form
• Cheeger-Muller theorem
• Bismut-Zhang theorem

The authors establish a Cheeger-Muller type theorem for the complex valued analytic torsion introduced by Burghelea and Haller for flat vector bundles carrying non-degenerate symmetric bilinear forms. As a consequence, they prove the Burghelea-Haller conjecture in full generality, which gives an analytic interpretation of (the square of) the Turaev torsion.

• 出版日期2008-7
• 单位南开大学