Secondary invariants for string bordism and topological modular forms

作者：Bunke Ulrich; Naumann Niko^*

来源：Bulletin des Sciences Mathematiques, 2014, 138(8): 912-970.

DOI：10.1016/j.bulsci.2014.05.002

• Higher spectral invariants
• Topological modular forms
• Witten genus
• String manifolds

Using spectral invariants of Dirac operators we construct a secondary version of the Witten genus, namely a bordism invariant of string manifolds in dimensions 4m - 1. We prove a secondary index theorem which relates this global-analytic construction with its homotopy-theoretic analog. The latter will be calculated through its factorization over topological modular forms.

• 出版日期2014-12