A Cheeger–Müller theorem for delocalized analytic torsion |
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| Authors: | Guangxiang Su |
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| Institution: | (1) Chern Institute of Mathematics, Nankai University, Tianjin, 300071, People’s Republic of China |
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| Abstract: | 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 positive Novikov–Shubin invariants and
finite conjugacy class, we get the Cheeger–Müller type relation between the delocalized L
2-analytic torsion and the delocalized L
2-combinatorial torsion.
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| Keywords: | Delocalized trace Novikov– Shubin invariant Delocalized L 2-analytic torsion Delocalized L 2 combinatorial torsion |
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