Data di Pubblicazione:
2021
Citazione:
New formulas for the character varieties of two-bridge links / Cavicchioli, A., Spaggiari, F.. - In: JOURNAL OF GEOMETRY. - ISSN 0047-2468. - 112:3(2021), pp. 1-19. [10.1007/s00022-021-00608-0]
Abstract:
We consider some families of two-bridge links, including the links b(2p; 3), the
twisted Whitehead links and the double twist links, and calculate their character varieties.
Then we give simple geometrical descriptions of such varieties, and determine the number
of their irreducible components. Our paper relates to the nice work of Hilden, Lozano and
Montesinos on the character variety of a class of 2-bridge links, but uses very dierent
methods based on the concept of palindome presentations of link groups. The obtained
formulas for the above character varieties are new, easily programmable, and more simple
in many cases than the equations known in the literature.
twisted Whitehead links and the double twist links, and calculate their character varieties.
Then we give simple geometrical descriptions of such varieties, and determine the number
of their irreducible components. Our paper relates to the nice work of Hilden, Lozano and
Montesinos on the character variety of a class of 2-bridge links, but uses very dierent
methods based on the concept of palindome presentations of link groups. The obtained
formulas for the above character varieties are new, easily programmable, and more simple
in many cases than the equations known in the literature.
Tipologia CRIS:
Articolo su rivista
Keywords:
Finitely generated group, two-bridge link, twisted Whitehead link, character
variety, SL(2;C) representation.
Elenco autori:
Cavicchioli, A.; Spaggiari, F.
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