Logarithmic link invariants of U‾qH(sl2) and asymptotic dimensions of singlet vertex algebras

Creutzig T, Milas A, Rupert M (2018)

Publication Type: Journal article

Publication year: 2018

Journal

Journal of Pure and Applied Algebra Elsevier

Book Volume: 222

Pages Range: 3224-3247

Journal Issue: 10

DOI: 10.1016/j.jpaa.2017.12.004

Abstract

We study relationships between the restricted unrolled quantum group U‾q ^H(sl2) at q=e^πi/r, and the singlet vertex operator algebra M(r), r≥2. We use deformable families of modules to efficiently compute (1,1)-tangle invariants colored with projective U‾q ^H(sl2)-modules. These invariants relate to the colored Alexander tangle invariants studied in [6,40]. It follows that the regularized asymptotic dimensions of characters of M(r), studied previously by the first two authors, coincide with the corresponding modified traces of open Hopf link invariants. We also discuss various categorical properties of M(r)-mod in connection to braided tensor categories.

Authors with CRIS profile

Thomas Creutzig

Involved external institutions

University of Alberta

Canada (CA) State University of New York at Albany (UNY Albany / UAlbany)

United States (USA) (US)

How to cite

APA:

Creutzig, T., Milas, A., & Rupert, M. (2018). Logarithmic link invariants of U‾qH(sl2) and asymptotic dimensions of singlet vertex algebras. Journal of Pure and Applied Algebra, 222(10), 3224-3247. https://doi.org/10.1016/j.jpaa.2017.12.004

MLA:

Creutzig, Thomas, Antun Milas, and Matt Rupert. "Logarithmic link invariants of U‾qH(sl2) and asymptotic dimensions of singlet vertex algebras." Journal of Pure and Applied Algebra 222.10 (2018): 3224-3247.

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