ADO invariants directly from partial traces of homological representations

Cristina Ana-Maria Anghel

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arXiv · 2007.15616

ADO invariants directly from partial traces of homological representations

Cristina Ana-Maria Anghel

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Abstract

The ADO invariants are a sequence of non-semisimple quantum invariants coming from the representation theory of the quantum group $U_q(sl(2))$ at roots of unity. Ito showed that these invariants are sums of traces of quotients of homological representations of braid groups (truncated Lawrence representations). In this paper we show a direct homological formula for the ADO invariants, as sums of partial traces of Lawrence type representations, without further truncations.

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BibTeX RIS

Cristina Ana-Maria Anghel. 2020-07-30. ADO invariants directly from partial traces of homological representations. https://arxiv.org/abs/2007.15616

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