Spin structures, theta functions and topological insulators

Research output: Contribution to journalArticlepeer-review

Abstract

We investigate a relationship between topological insulators and spin structures on Riemann surfaces, along with their theta function interpretation, via Quillen's determinant bundle. The genus one case is analyzed in detail and it is found to yield a non trivial Kane-Mele type invariant.
Original languageEnglish
Pages (from-to)201-210
Number of pages10
JournalALBANIAN JOURNAL OF MATHEMATICS
Publication statusPublished - 2019

Keywords

  • Topological insulators, Spin-c and Spin structures, theta functions, geometric quantization.

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