{"user_id":"72064","doi":"10.1090/conm/829/16544","_id":"66297","language":[{"iso":"eng"}],"publisher":"American Mathematical Society","publication_status":"published","date_updated":"2026-07-07T06:37:18Z","publication_identifier":{"issn":["0271-4132","1098-3627"],"isbn":["9781470481049","9781470476199"]},"author":[{"id":"72064","full_name":"Burban, Igor","first_name":"Igor","last_name":"Burban"},{"last_name":"Klevtsov","first_name":"Semyon","full_name":"Klevtsov, Semyon"}],"status":"public","year":"2025","title":"Norms of wave functions for FQHE models on a torus","type":"book_chapter","date_created":"2026-07-07T06:37:04Z","place":"Providence, Rhode Island","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>"}],"citation":{"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>.","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>","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} }","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>","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.","short":"I. Burban, S. Klevtsov, in: Contemporary Mathematics, American Mathematical Society, Providence, Rhode Island, 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>."},"publication":"Contemporary Mathematics"}