diego santoro - Academia.edu (original) (raw)
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University of California, Berkeley
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Papers by diego santoro
We prove that if MMM is a rational homology sphere that is a Dehn surgery on the Whitehead link, ... more We prove that if MMM is a rational homology sphere that is a Dehn surgery on the Whitehead link, then MMM is not an LLL-space if and only if MMM supports a coorientable taut foliation. The left orderability of some of these manifolds is also proved, by determining which of the constructed taut foliations have vanishing Euler class. We also present some more general results about the structure of the LLL-space surgery slopes for links whose components are unknotted and with pairwise linking number zero, and about the existence of taut foliations on the fillings of a kkk-holed torus bundle over the circle with some prescribed monodromy. Our result, combined with some results from Roberts--Shareshian--Stein and arXiv:2006.07706 [math.GT], also imply that all the integer surgeries on the Whitehead link satisfy the L-space conjecture.
We prove that if MMM is a rational homology sphere that is a Dehn surgery on the Whitehead link, ... more We prove that if MMM is a rational homology sphere that is a Dehn surgery on the Whitehead link, then MMM is not an LLL-space if and only if MMM supports a coorientable taut foliation. The left orderability of some of these manifolds is also proved, by determining which of the constructed taut foliations have vanishing Euler class. We also present some more general results about the structure of the LLL-space surgery slopes for links whose components are unknotted and with pairwise linking number zero, and about the existence of taut foliations on the fillings of a kkk-holed torus bundle over the circle with some prescribed monodromy. Our result, combined with some results from Roberts--Shareshian--Stein and arXiv:2006.07706 [math.GT], also imply that all the integer surgeries on the Whitehead link satisfy the L-space conjecture.