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- W2896581363 abstract "For an oriented diagram of a link $L$ in the 3-sphere, Cho and Murakami defined the potential function whose critical point, slightly different from the usual sense, corresponds to a boundary parabolic $mathrm{PSL}(2,mathbb{C})$-representation of $pi_1(S^3 setminus L)$. They also showed that the volume and Chern-Simons invariant of such a representation can be computed from the potential function with its partial derivatives. In this paper, we extend the potential function to a $mathrm{PSL}(2,mathbb{C})$-representation that is not necessarily boundary parabolic. Under a mild assumption, it leads us to a combinatorial formula for computing the volume and Chern-Simons invariant of a $mathrm{PSL}(2,mathbb{C})$-representation of a closed 3-manifold." @default.
- W2896581363 created "2018-10-26" @default.
- W2896581363 creator A5027375565 @default.
- W2896581363 date "2018-10-22" @default.
- W2896581363 modified "2023-09-27" @default.
- W2896581363 title "On the potential functions for a link diagram" @default.
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