A Cheeger-Muller theorem for delocalized analytic torsion

作者：Su Guangxiang^*

来源：Annals of Global Analysis and Geometry, 2007, 31(2): 181-211.

DOI：10.1007/s10455-006-9043-7

• delocalized trace
• Novikov-Shubin invariant
• delocalized L-2-analytic torsion
• delocalized L-2-combinatorial torsion

We study the delocalized L-2-analytic torsion introduced by John Lott, and define the delocalized L-2-combinatorial torsion. By using the method of Bismut-Zhang, under the conditions of positiveNovikov - Shubin invariants and finite conjugacy class, we get the Cheeger-Muller type relation between the delocalized L-2-analytic torsion and the delocalized L-2-combinatorial torsion.

• 出版日期2007-4
• 单位南开大学