Deformations of generalized Fuchsian representations
Abstract/Contents
- Abstract
- This thesis studies the deformation theory of surface group representations in to SL(4, R) -- in particular, those near what we term the generalized Fuchsian locus. We show that deformations of these representations admit geodesic laminations on the boundary of the convex hull of the limit set in RP^3, which generalizes the classical theory of quasi-Fuchsian deformations. In this new setting, however, we show that there exist such deformations for which this lamination supports no transverse measure, which cannot happen for hyperbolic deformations.
Description
| Type of resource | text |
|---|---|
| Form | electronic resource; remote; computer; online resource |
| Extent | 1 online resource. |
| Place | California |
| Place | [Stanford, California] |
| Publisher | [Stanford University] |
| Copyright date | 2019; ©2019 |
| Publication date | 2019; 2019 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Ungemach, Weston Joseph |
|---|---|
| Degree supervisor | Kerckhoff, Steve |
| Thesis advisor | Kerckhoff, Steve |
| Thesis advisor | Danciger, Jeff |
| Thesis advisor | Fredrickson, Laura |
| Degree committee member | Danciger, Jeff |
| Degree committee member | Fredrickson, Laura |
| Associated with | Stanford University, Department of Mathematics. |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Weston Ungemach. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis Ph.D. Stanford University 2019. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2019 by Weston Joseph Ungemach
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