I will show that the Atiyah-Patodi-Singer η-invariant can be related to the temperature-dependent Witten index of a noncompact theory and will give a new proof of the APS theorem using scattering theory.I will then motivate how the η-invariant can be computed using path integral and use this method to compute η-invariant for Cigar. The relation between η-invariant and Mock modular forms will also be hinted.
Diksha Jain (Scuola Internazionale Superiore di Studi Avanzati, Italy )
Date & Time
Tue, 27 August 2019, 16:00 to 17:30
Emmy Noether Seminar Room, ICTS Campus, Bangalore