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| A Cheeger-M¨uller Theorem for Symmetric Bilinear Torsions |
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Citation： |
Guangxiang SU,Weiping ZHANG.A Cheeger-M¨uller Theorem for Symmetric Bilinear Torsions[J].Chinese Annals of Mathematics B,2008,29(4):385~424 |
| Page view： 1211
Net amount： 774 |
Authors： |
Guangxiang SU; Weiping ZHANG |
Foundation： |
the Qiushi Foundation and the National Natural Science Foundation of China (Nos. 10571088, 10621101). |
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| Abstract： |
The authors establish a Cheeger-M¨uller type theorem for the complex valued analytic torsion introduced by Burghelea and Haller for flat vector bundles carrying nondegenerate 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. |
Keywords： |
Analytic torsion, Symmetric bilinear form, Cheeger-M¨uller theorem, Bismut-Zhang theorem |
Classification： |
58J |
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