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On representation varieties of Artin groups,projective arrangements and the fundamental groups of smooth complex algebraic varieties
Artin groups,projective arrangements fundamental groups smooth complex algebraic varieties
2015/10/14
On representation varieties of Artin groups,projective arrangements and the fundamental groups of smooth complex algebraic varieties.
Constructions of surface bundles with rank two fundamental groups
Heegaard genus 2-generator group surface bundle
2011/2/28
We give a construction of hyperbolic 3-manifolds with rank two fundamental groups and report an experimental search to find such manifolds.Our manifolds are all surface bundles over the circle with ge...
Left-orderable fundamental groups and Dehn surgery
Left-orderable fundamental groups Dehn surgery
2010/12/9
There are various results that frame left-orderability of a group as a geometric property. Indeed, the fundamental group of a 3-manifold is left-orderable whenever the first Betti number is positive; ...
A note on trace scaling actions and fundamental groups of $C^*$-algebras
Fundamental group Trace scaling action Dimension group
2010/12/1
Using Effros-Handelman-Shen theorem and Elliott’s classification theorem of AF algebras, we show that there exists a unital simple AF algebra A with unique trace such that A K admits no trace scaling ...