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Topology of cell complexes and manifolds, classification of manifolds (e.g. smoothing, surgery), low dimensional topology (e.g. knot theory, invariants of 4-manifolds), embedding theory, combinatorial and PL topology, geometric group theory, infinite dimensional topology (e.g. Hilbert cube manifolds, theory of retracts).

3 votes

Can lens spaces be realized by surgery along torus links?

OP told me about his question a few months ago—now might be as good a time as any to attempt an answer. Disclaimer: I know second to nothing about knots, surgery, or anything in geometric topology at …
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