TY - JOUR
T1 - On the geometry of some unitary Riemann surface braid group representations and Laughlin-type wave functions
AU - Spera, Mauro
PY - 2015
Y1 - 2015
N2 - 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.
AB - 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.
KW - Riemann surface braid groups, stable holomorphic vector bundles, prime form, Laughlin wave functions, noncommutative geometry.
KW - Riemann surface braid groups, stable holomorphic vector bundles, prime form, Laughlin wave functions, noncommutative geometry.
UR - http://hdl.handle.net/10807/66137
U2 - 10.1016/j.geomphys.2015.04.003
DO - 10.1016/j.geomphys.2015.04.003
M3 - Article
SN - 0393-0440
VL - 2015
SP - 120
EP - 140
JO - Journal of Geometry and Physics
JF - Journal of Geometry and Physics
ER -