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A UNIFIED QUANTUM SO(3) INVARIANT FOR RATIONAL HOMOLOGY 3–SPHERES (801)
| Citations: | 4 - 3 self |
BibTeX
@MISC{Beliakova801aunified,
author = {Anna Beliakova and Irmgard Bühler and Thang Le},
title = {A UNIFIED QUANTUM SO(3) INVARIANT FOR RATIONAL HOMOLOGY 3–SPHERES},
year = {801}
}
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Abstract
Abstract. Given a rational homology 3–sphere M with |H1(M, Z) | = b and a link L inside M, colored by odd numbers, we construct a unified invariant IM,L belonging to a modification of the Habiro ring where b is inverted. Our unified invariant dominates the whole set of the SO(3) Witten–Reshetikhin–Turaev invariants of the pair (M, L). If b = 1 and L = ∅, IM coincides with Habiro’s invariant of integral homology 3–spheres. For b> 1, the unified invariant defined by the third author is determined by IM. One of the applications are the new Ohtsuki series (perturbative expansions of IM at roots of unity) dominating all quantum SO(3) invariants.
