Twisted Dirac operators on certain nilmanifolds associated to even lattices

Starting from an even definite lattice, we construct a principal circle bundle covered by a certain three-step nilpotent Lie group G. On the base space, which is again a nilmanifold, we then study the Dirac operator twisted by the associated complex line bundles. Noting that the whole situation fi...

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Bibliographic Details
Main Author: von Bodecker, Hanno
Format: text
Published: 2014
Subjects:
Online Access:http://arxiv.org/abs/1412.5888