English

Bordered HF- for three-manifolds with torus boundary

Geometric Topology 2023-09-15 v2 Symplectic Geometry

Abstract

We define an invariant for bordered 3-manifolds with torus boundary, taking the form of a module over a weighted A-infinity algebra associated to a torus defined in previous work. On setting U=0, we obtain the bordered three-manifold invariants with torus boundary constructed earlier.

Keywords

Cite

@article{arxiv.2305.07754,
  title  = {Bordered HF- for three-manifolds with torus boundary},
  author = {Robert Lipshitz and Peter Ozsváth and Dylan Thurston},
  journal= {arXiv preprint arXiv:2305.07754},
  year   = {2023}
}

Comments

125 pages, 41 figures. v2: Minor changes

R2 v1 2026-06-28T10:33:25.837Z