---
_id: '66297'
abstract:
- lang: eng
  text: <p>The goal of this paper is to give an explicit computation of the curvature
    of the magnetic vector bundle of the multi-layer model of the fractional quantum
    Hall effect on a torus. We also obtain concrete formulae for the norms of the
    corresponding wave functions arising in such models.</p>
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: Semyon
  full_name: Klevtsov, Semyon
  last_name: Klevtsov
citation:
  ama: 'Burban I, Klevtsov S. Norms of wave functions for FQHE models on a torus.
    In: <i>Contemporary Mathematics</i>. American Mathematical Society; 2025. doi:<a
    href="https://doi.org/10.1090/conm/829/16544">10.1090/conm/829/16544</a>'
  apa: Burban, I., &#38; Klevtsov, S. (2025). Norms of wave functions for FQHE models
    on a torus. In <i>Contemporary Mathematics</i>. American Mathematical Society.
    <a href="https://doi.org/10.1090/conm/829/16544">https://doi.org/10.1090/conm/829/16544</a>
  bibtex: '@inbook{Burban_Klevtsov_2025, place={Providence, Rhode Island}, title={Norms
    of wave functions for FQHE models on a torus}, DOI={<a href="https://doi.org/10.1090/conm/829/16544">10.1090/conm/829/16544</a>},
    booktitle={Contemporary Mathematics}, publisher={American Mathematical Society},
    author={Burban, Igor and Klevtsov, Semyon}, year={2025} }'
  chicago: 'Burban, Igor, and Semyon Klevtsov. “Norms of Wave Functions for FQHE Models
    on a Torus.” In <i>Contemporary Mathematics</i>. Providence, Rhode Island: American
    Mathematical Society, 2025. <a href="https://doi.org/10.1090/conm/829/16544">https://doi.org/10.1090/conm/829/16544</a>.'
  ieee: 'I. Burban and S. Klevtsov, “Norms of wave functions for FQHE models on a
    torus,” in <i>Contemporary Mathematics</i>, Providence, Rhode Island: American
    Mathematical Society, 2025.'
  mla: Burban, Igor, and Semyon Klevtsov. “Norms of Wave Functions for FQHE Models
    on a Torus.” <i>Contemporary Mathematics</i>, American Mathematical Society, 2025,
    doi:<a href="https://doi.org/10.1090/conm/829/16544">10.1090/conm/829/16544</a>.
  short: 'I. Burban, S. Klevtsov, in: Contemporary Mathematics, American Mathematical
    Society, Providence, Rhode Island, 2025.'
date_created: 2026-07-07T06:37:04Z
date_updated: 2026-07-07T06:37:18Z
doi: 10.1090/conm/829/16544
language:
- iso: eng
place: Providence, Rhode Island
publication: Contemporary Mathematics
publication_identifier:
  isbn:
  - '9781470481049'
  - '9781470476199'
  issn:
  - 0271-4132
  - 1098-3627
publication_status: published
publisher: American Mathematical Society
status: public
title: Norms of wave functions for FQHE models on a torus
type: book_chapter
user_id: '72064'
year: '2025'
...