Lupi, Damiano (2015) Primitive stability and Bowditch conditions for rank 2 free group representations. PhD thesis, University of Warwick.

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Abstract

We introduce two different properties of representations of the free group of rank 2 into the group of hyperbolic isometries PSL(2,C): BQ conditions and primitive stability. We investigate relations between the sets of characters satisfying these conditions, and study certain slices of the character variety separately. The results we get are in line with the conjecture that these two sets actually coincide. We also show that in the diagonal slice of the character variety, namely the set of representations with associated trace triple (z, z, z), z E C, there exists a large class of primitive stable representations which are not discrete and faithful.

Item Type:	Thesis (PhD)
Subjects:	Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH):	Representations of groups, Free groups
Official Date:	September 2015
Dates:	Date Event September 2015 Submitted
Institution:	University of Warwick
Theses Department:	Mathematics Institute
Thesis Type:	PhD
Publication Status:	Unpublished
Supervisor(s)/Advisor:	Series, Caroline
Extent:	vi, 57 leaves : charts
Language:	eng

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