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Anh T. Tran and
Nisha Yadav
Canonical components of character varieties of double twist links J(2m+1, 2m+1)
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| Published: |
May 9, 2024. |
| Keywords: |
Double twist link, character variety, canonical component, conic bundle, surface, blow up. |
| Subject [2020]: |
Primary 57K31, Secondary 57K10. |
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Abstract
We show that a certain smooth projective model of the canonical component of the SL2(C)-character variety of the double twist link J(2m+1, 2m+1), where m is a positive integer, is the conic bundle over the projective line P1 which is isomorphic to the surface obtained from P1 x P1 by repeating a
one-point blow-up 6m+3 times.
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| Acknowledgements
The first author has been supported by a grant from the Simons
Foundation (#708778).
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| Author information
Anh T. Tran
Department of Mathematical Sciences
The University of Texas at Dallas
Richardson, TX 75080, USA
att140830@utdallas.edu
Nisha Yadav
School of Mathematical and Statistical Sciences
Clemson University
Clemson, SC 29634, USA
fnisha@clemson.edu
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