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BPS Invariants for a Knot in Seifert Manifolds

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abstract

We calculate homological blocks for a knot in Seifert manifolds when the gauge group is $SU(N)$. We obtain the homological blocks with a given representation of the gauge group from the expectation value of the Wilson loop operator by analytically continuing the Chern-Simons level. We also obtain homological blocks with the analytically continued level and representation for a knot in the Seifert integer homology spheres.

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math-ph 1

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2025 1

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representative citing papers

Quantum invariants of 3-manifolds and links: a review

math-ph · 2025-09-03 · unverdicted · novelty 1.0

This is a survey, not a new result: it reviews the q-series invariants Zhat, F_K, F_L and their supergroup analogues, collecting known conjectures, theorems, and examples.

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  • Quantum invariants of 3-manifolds and links: a review math-ph · 2025-09-03 · unverdicted · none · ref 19 · internal anchor

    This is a survey, not a new result: it reviews the q-series invariants Zhat, F_K, F_L and their supergroup analogues, collecting known conjectures, theorems, and examples.