Alexander polynomial, Dijkgraaf-Witten invariant, and Seifert fibred surgery

DOI10.1016/j.topol.2022.108303OpenAlexW4304784012MaRDI QIDQ2105002

Haimiao Chen

Publication date: 8 December 2022

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.09399

zbMATH Keywords

Alexander polynomialDijkgraaf-Witten invariantSeifert 3-manifoldsmall Seifert fibred surgery

Mathematics Subject Classification ID

Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16) Knot theory (57K10)

Cites Work

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• Exceptional surgeries on alternating knots
• Small Seifert fibered surgery on hyperbolic pretzel knots
• The classification of toroidal Dehn surgeries on Montesinos knots
• Applying TQFT to count regular coverings of Seifert 3-manifolds
• Distinguishing geometries using finite quotients
• Exceptional Dehn surgery on large arborescent knots
• Grothendieck's problem for 3-manifold groups
• All exceptional surgeries on alternating knots are integral surgeries
• Word hyperbolic Dehn surgery
• The profinite completions of knot groups determine the Alexander polynomials
• The maximal number of exceptional Dehn surgeries
• Computing twisted Alexander polynomials for Montesinos links
• Reidemeister torsion of Seifert fibered homology lens spaces and Dehn surgery
• Immersed surfaces and Seifert fibered surgery on Montesinos knots
• On mapping cones of Seifert fibered surgeries
• Profinite detection of 3-manifold decompositions
• Lectures on the topology of 3-manifolds. An introduction to the Casson invariant

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