book chapter Norms of wave functions for FQHE models on a torus published Igor Burban author 72064 Semyon Klevtsov author <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> American Mathematical Society2025 eng Contemporary Mathematics 0271-4132 1098-3627 9781470481049 978147047619910.1090/conm/829/16544 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>. I. Burban, S. Klevtsov, in: Contemporary Mathematics, American Mathematical Society, Providence, Rhode Island, 2025. 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> 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. 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> @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} } 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>. 662972026-07-07T06:37:04Z2026-07-07T06:37:18Z