In this note we construct the simplest unitary Riemann surface braid group representations geometrically by means of stable holomorphic vector bundles over complex tori and the prime form on Riemann surfaces. Generalised Laughlin wave functions are then introduced. The genus one case is discussed in some detail also with the help of noncommutative geometric tools, and an application of Fourier-Mukai-Nahm techniques is also given, explaining the emergence of an intriguing Riemann surface braid group duality.

Spera, M., On the geometry of some unitary Riemann surface braid group representations and Laughlin-type wave functions, <<JOURNAL OF GEOMETRY AND PHYSICS>>, 2015; 2015 (N/A): 120-140 [http://hdl.handle.net/10807/66137]

On the geometry of some unitary Riemann surface braid group representations and Laughlin-type wave functions

Spera, Mauro
2015

Abstract

In this note we construct the simplest unitary Riemann surface braid group representations geometrically by means of stable holomorphic vector bundles over complex tori and the prime form on Riemann surfaces. Generalised Laughlin wave functions are then introduced. The genus one case is discussed in some detail also with the help of noncommutative geometric tools, and an application of Fourier-Mukai-Nahm techniques is also given, explaining the emergence of an intriguing Riemann surface braid group duality.
Inglese
Spera, M., On the geometry of some unitary Riemann surface braid group representations and Laughlin-type wave functions, <<JOURNAL OF GEOMETRY AND PHYSICS>>, 2015; 2015 (N/A): 120-140 [http://hdl.handle.net/10807/66137]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/66137
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