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2 results for non-contactomorphic

In hyperbolic L-spaces, we find multiple pseudo-Anosov flows with unique properties.

problem Finding multiple pseudo-Anosov flows in hyperbolic L-spaces.
method Used cylindrical contact homology and reconstruction of pseudo-Anosov flows from their closed orbits.
result Proved the existence of nn pseudo-Anosov flows in hyperbolic L-spaces, each with unique properties.

We consider a fixed contact 3-manifold that admits infinitely many compact Stein fillings which are all homeomorphic but pairwise non-diffeomorphic. Each of these fillings gives rise to a closed contact 5-manifold described as a contact open book whose page is the filling at hand and whose monodromy is the identity sym…

2015-02-11abs ↗pdf ↗