Complex valued Ray-Singer torsion
微分几何
2015-06-09 v3
摘要
In the spirit of Ray and Singer we define a complex valued analytic torsion using non-selfadjoint Laplacians. We establish an anomaly formula which permits to turn this into a topological invariant. Conjecturally this analytically defined invariant computes the complex valued Reidemeister torsion, including its phase. We establish this conjecture in some non-trivial situations.
引用
@article{arxiv.math/0604484,
title = {Complex valued Ray-Singer torsion},
author = {Dan Burghelea and Stefan Haller},
journal= {arXiv preprint arXiv:math/0604484},
year = {2015}
}
备注
Fixed two sign mistakes and added a few more details here and there