2019 SPIN STRUCTURES, THETA FUNCTIONS AND TOPOLOGICAL INSULATORS
Mauro Spera
Author Affiliations +
Albanian J. Math. 13(1): 201-210 (2019). DOI: 10.51286/albjm/1559780444

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.

Acknowledgements

The author is grateful to a Referee for his/her careful reading and critical remarks. The present research was carried out within the framework of INDAM-GNSAGA activities. Financial support from Università Cattolica D1-funds is also acknowledged.

Citation

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Mauro Spera. "SPIN STRUCTURES, THETA FUNCTIONS AND TOPOLOGICAL INSULATORS." Albanian J. Math. 13 (1) 201 - 210, 2019. https://doi.org/10.51286/albjm/1559780444

Information

Published: 2019
First available in Project Euclid: 11 July 2023

Digital Object Identifier: 10.51286/albjm/1559780444

Subjects:
Primary: 53D50 , 81S10
Secondary: 14H40 , 14H42

Keywords: geometric quantization , Spinc and Spin structures , Theta functions , topological insulators

Rights: Copyright © 2019 Research Institute of Science and Technology (RISAT)

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Vol.13 • No. 1 • 2019
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