Heegaard Floer homology solid tori
Heegaard Floer homology solid tori

Liam Watson, UCLA
Fine Hall 314
It has been conjectured that Lspaces are equivalent to 3manifolds with nonleftorderable fundamental group. Supposing that this conjecture is true, some interesting (perhaps even surprising) behaviour is suggested both for Lspaces and for leftorderable groups. This talk will outline some of the supporting evidence for the conjecture, and then discuss some calculations in bordered Heegaard Floer homology for studying a particular family of graph manifolds that do not admit taut foliations. In particular, we'll give examples of what might be termed 'Heegaard Floer homology solid tori'.