Taut foliations in branched cyclic covers and left-orderable groups
Sign Up to like & getrecommendations! Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7833
Abstract: We study the left-orderability of the fundamental groups of cyclic branched covers of links which admit co-oriented taut foliations. In particular we do this for cyclic branched covers of fibred knots in integer homology 3… read more here.
Keywords: taut foliations; cyclic branched; foliations branched; left orderable ... See more keywords
Branched covers of quasi‐positive links and L‐spaces
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Topology"
DOI: 10.1112/topo.12092
Abstract: Let $L$ be a oriented link such that $\Sigma_n(L)$, the $n$-fold cyclic cover of $S^3$ branched over $L$, is an L-space for some $n \geq 2$. We show that if either $L$ is a strongly… read more here.
Keywords: branched covers; space; alexander polynomial; covers quasi ... See more keywords