An explicit view of the Hitchin fibration on the Betti side for P1 minus 5 points

Abstract : The dual complex of the divisor at infinity of the character variety of local systems on P^1 − {t1,. .. , t5} with monodromies in prescribed conjugacy classes Ci ⊂ SL2(C), was shown by Komyo to be the sphere S^3. We compare in some detail the projection from a tubular neighborhood to this dual complex, with the corresponding Hitchin fibration at infinity.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-01473602
Contributor : Carlos Simpson <>
Submitted on : Saturday, February 25, 2017 - 7:56:37 PM
Last modification on : Monday, December 2, 2019 - 4:31:42 PM
Long-term archiving on: Friday, May 26, 2017 - 12:24:43 PM

Files

system.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01473602, version 2

Collections

Citation

Carlos Simpson. An explicit view of the Hitchin fibration on the Betti side for P1 minus 5 points. 2017. ⟨hal-01473602v2⟩

Share

Metrics

Record views

350

Files downloads

788