畠中 英里 (東京工業大学)
タイトル:Invariants of 3-manifolds formulated on their presentations given by 3-fold branched covering spaces over the 3-sphere
アブストラクト:
By a well-known theorem of Hilden and Montesinos,
every closed oriented 3-manifold is
an irregular 3-fold branched covering of $S^3$ branched along a knot.
Piergallini introduced covering moves,
which relates such branch sets representing the same 3-manifold.
Hence we can regard the branch set as a presentation of the 3-manifold.
We give new invariants of 3-manifolds using this presentation.
Then we construct the Dijkgraaf-Witten invariant as an example of the invariants.