Matches in SemOpenAlex for { <https://semopenalex.org/work/W4293777408> ?p ?o ?g. }
Showing items 1 to 65 of
65
with 100 items per page.
- W4293777408 abstract "We give a new lower bound on the number of connected components of the space of representations of a surface group into the group of orientation preserving homeomorphisms of the circle. Precisely, for the fundamental group of a genus g surface, we show there are at least k^(2g) + 1 connected components containing representations with Euler number (2g-2)/(k). We also show that certain representations are rigid, meaning that all deformations lie in the same semiconjugacy class. Our methods apply to representations of surface groups into finite covers of PSL(2,R) and into Diff+(S^1) as well, in which case we recover theorems of W. Goldman and J. Bowden. The key technique is an investigation of local maximality phenomena for rotation numbers of products of circle homeomorphisms, using techniques of Calegari-Walker. This is a new approach to studying deformation classes of group actions on the circle, and may be of independent interest." @default.
- W4293777408 created "2022-08-31" @default.
- W4293777408 creator A5083634119 @default.
- W4293777408 date "2013-09-11" @default.
- W4293777408 modified "2023-09-23" @default.
- W4293777408 title "Components of spaces of surface group representations" @default.
- W4293777408 doi "https://doi.org/10.48550/arxiv.1309.2905" @default.
- W4293777408 hasPublicationYear "2013" @default.
- W4293777408 type Work @default.
- W4293777408 citedByCount "0" @default.
- W4293777408 crossrefType "posted-content" @default.
- W4293777408 hasAuthorship W4293777408A5083634119 @default.
- W4293777408 hasBestOaLocation W42937774081 @default.
- W4293777408 hasConcept C111919701 @default.
- W4293777408 hasConcept C114614502 @default.
- W4293777408 hasConcept C121332964 @default.
- W4293777408 hasConcept C157369684 @default.
- W4293777408 hasConcept C16345878 @default.
- W4293777408 hasConcept C187915474 @default.
- W4293777408 hasConcept C196278274 @default.
- W4293777408 hasConcept C202444582 @default.
- W4293777408 hasConcept C2524010 @default.
- W4293777408 hasConcept C2776799497 @default.
- W4293777408 hasConcept C2778572836 @default.
- W4293777408 hasConcept C2781311116 @default.
- W4293777408 hasConcept C33923547 @default.
- W4293777408 hasConcept C41008148 @default.
- W4293777408 hasConcept C59822182 @default.
- W4293777408 hasConcept C62520636 @default.
- W4293777408 hasConcept C74050887 @default.
- W4293777408 hasConcept C86803240 @default.
- W4293777408 hasConceptScore W4293777408C111919701 @default.
- W4293777408 hasConceptScore W4293777408C114614502 @default.
- W4293777408 hasConceptScore W4293777408C121332964 @default.
- W4293777408 hasConceptScore W4293777408C157369684 @default.
- W4293777408 hasConceptScore W4293777408C16345878 @default.
- W4293777408 hasConceptScore W4293777408C187915474 @default.
- W4293777408 hasConceptScore W4293777408C196278274 @default.
- W4293777408 hasConceptScore W4293777408C202444582 @default.
- W4293777408 hasConceptScore W4293777408C2524010 @default.
- W4293777408 hasConceptScore W4293777408C2776799497 @default.
- W4293777408 hasConceptScore W4293777408C2778572836 @default.
- W4293777408 hasConceptScore W4293777408C2781311116 @default.
- W4293777408 hasConceptScore W4293777408C33923547 @default.
- W4293777408 hasConceptScore W4293777408C41008148 @default.
- W4293777408 hasConceptScore W4293777408C59822182 @default.
- W4293777408 hasConceptScore W4293777408C62520636 @default.
- W4293777408 hasConceptScore W4293777408C74050887 @default.
- W4293777408 hasConceptScore W4293777408C86803240 @default.
- W4293777408 hasLocation W42937774081 @default.
- W4293777408 hasOpenAccess W4293777408 @default.
- W4293777408 hasPrimaryLocation W42937774081 @default.
- W4293777408 hasRelatedWork W2044388458 @default.
- W4293777408 hasRelatedWork W2063684714 @default.
- W4293777408 hasRelatedWork W2093102607 @default.
- W4293777408 hasRelatedWork W2792779451 @default.
- W4293777408 hasRelatedWork W2901496727 @default.
- W4293777408 hasRelatedWork W2952589045 @default.
- W4293777408 hasRelatedWork W2963299114 @default.
- W4293777408 hasRelatedWork W3011491025 @default.
- W4293777408 hasRelatedWork W3099641547 @default.
- W4293777408 hasRelatedWork W4242595863 @default.
- W4293777408 isParatext "false" @default.
- W4293777408 isRetracted "false" @default.
- W4293777408 workType "article" @default.