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A Quantum trace map for 3-manifolds

Geometric Topology 2024-03-20 v1 High Energy Physics - Theory

Abstract

We define a quantum trace map from the skein module of a 3-manifold with torus boundary components to a module (left and right quotient of a quantum torus) constructed from an ideal triangulation. Our map is a 3-dimensional version of the well-known quantum trace map on surfaces introduced by Bonahon and Wong and further developed by L\^e.

Cite

@article{arxiv.2403.12424,
  title  = {A Quantum trace map for 3-manifolds},
  author = {Stavros Garoufalidis and Tao Yu},
  journal= {arXiv preprint arXiv:2403.12424},
  year   = {2024}
}

Comments

42 pages, 63 figures

R2 v1 2026-06-28T15:25:15.926Z