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On the Generalized Ray‐Singer Conjecture for Covering Spaces
Author(s) -
Gong Donggeng
Publication year - 1999
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19992020106
Subject(s) - mathematics , conjecture , torsion (gastropod) , laplace operator , pure mathematics , algebra over a field , combinatorics , mathematical analysis , medicine , surgery
We find a relation between L 2 ‐combinatorial torsion and analytic torsion associated with a small spectrum of the Witten‐type Laplacian on a covering space. The result is used as one crucial step in a proof of the generalized Ray‐Singer conjecture for covering spaces.