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.

Spera, M., Spin structures, theta functions and topological insulators, <<ALBANIAN JOURNAL OF MATHEMATICS>>, 2019; (1): 201-210 [http://hdl.handle.net/10807/136431]

Spin structures, theta functions and topological insulators

Spera, Mauro
2019

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.
2019
Inglese
Spera, M., Spin structures, theta functions and topological insulators, <<ALBANIAN JOURNAL OF MATHEMATICS>>, 2019; (1): 201-210 [http://hdl.handle.net/10807/136431]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/136431
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