论文信息 - Twisted link theory

Twisted link theory

We introduce stable equivalence classes of oriented links in orientable three-manifolds that are orientation I ‐bundles over closed but not necessarily orientable surfaces. We call these twisted virtual links and show that they subsume the virtual knots introduced by L Kauffman and the projective links introduced by Yu V Drobotukhina. We show that these links have unique minimal genus three-manifolds. We use link diagrams to define an extension of the Jones polynomial for these links and show that this polynomial fails to distinguish two-colorable links over nonorientable surfaces from non-two-colorable virtual links. 57M25, 57M27, 57M15, 57M05

Mario O. Bourgoin

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