Abstract
The Gukov–Manolescu series, denoted by [Formula: see text], is a conjectural invariant of knot complements that, in a sense, analytically continues the colored Jones polynomials. In this paper we use the large color [Formula: see text]-matrix to study [Formula: see text] for some simple links. Specifically, we give a definition of [Formula: see text] for positive braid knots, and compute [Formula: see text] for various knots and links. As a corollary, we present a class of “strange identities” for positive braid knots.
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