Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published 2017 | Submitted + Published
Journal Article Open

Twisted index theory on orbifold symmetric products and the fractional quantum Hall effect


We extend the noncommutative geometry model of the fractional quantum Hall effect, previously developed by Mathai and the first author, to orbifold symmetric products. It retains the same properties of quantization of the Hall conductance at integer multiples of the fractional Satake orbifold Euler characteristics. We show that it also allows for interesting composite fermions and anyon representations, and possibly for Laughlin type wave functions.

Additional Information

© 2017 International Press. The first author was supported by NSF grants DMS-1007207, DMS-1201512, PHY-1205440, and DMS-1707882. The second author contributed to this project as part of his summer undergraduate research.

Attached Files

Published - ATMP-2017-0021-0002-a003.pdf

Submitted - 1502.01314.pdf


Files (781.2 kB)
Name Size Download all
424.4 kB Preview Download
356.9 kB Preview Download

Additional details

August 19, 2023
March 5, 2024