arXiv Open Access 2007

Unified quantum invariants and their refinements for homology 3-spheres with 2-torsion

Anna Beliakova Christian Blanchet Thang T. Q. Le

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Abstrak

For every rational homology 3-sphere with 2-torsion only we construct a unified invariant (which takes values in a certain cyclotomic completion of a polynomial ring), such that the evaluation of this invariant at any odd root of unity provides the SO(3) Witten-Reshetikhin-Turaev invariant at this root and at any even root of unity the SU(2) quantum invariant. Moreover, this unified invariant splits into a sum of the refined unified invariants dominating spin and cohomological refinements of quantum SU(2) invariants. New results on the Ohtsuki series and the integrality of quantum invariants are the main applications of our construction.

Topik & Kata Kunci

math.QA math.GT

Penulis (3)

Anna Beliakova

Christian Blanchet

Thang T. Q. Le

Format Sitasi

APA MLA BibTeX

Beliakova, A., Blanchet, C., Le, T.T.Q. (2007). Unified quantum invariants and their refinements for homology 3-spheres with 2-torsion. https://arxiv.org/abs/0704.3669

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2007
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓