Non-faithful representations of surface groups into $$ SL (2,\mathbb C)$$ S L ( 2 , C ) which kill no simple closed curve

Autor:	Jason Fox Manning, Daryl Cooper
Rok vydání:	2014
Předmět:	Surface (mathematics) Conjecture Group (mathematics) Algebraic geometry Mathematics::Geometric Topology Jordan curve theorem Combinatorics Loop (topology) Mathematics::Group Theory symbols.namesake Simple (abstract algebra) symbols Geometry and Topology Mathematics Counterexample
Zdroj:	Geometriae Dedicata. 177:165-187
ISSN:	1572-9168 0046-5755
DOI:	10.1007/s10711-014-9984-0
Popis:	We give counterexamples to a version of the simple loop conjecture in which the target group is $$ PSL (2,\mathbb C)$$ . These examples answer a question of Minsky in the negative.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::207e7180e308ac795e7edffa4373a4ff https://doi.org/10.1007/s10711-014-9984-0 Zobrazit plný text záznamu Full text from SpringerLink