Khovanov homology and knot Floer homology for pointed links
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Published Version (Please cite this version)10.1142/S0218216517400041
Publication InfoLevine, Adam; Baldwin, John A; & Sarkar, Sucharit (2017). Khovanov homology and knot Floer homology for pointed links. Journal of Knot Theory and Its Ramifications, 26(02). pp. 1740004-1740004. 10.1142/S0218216517400041. Retrieved from https://hdl.handle.net/10161/17708.
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Assistant Professor of Mathematics
My research is in low-dimensional topology, the study of the shapes of 3- and 4-dimensional spaces (manifolds) and of curves and surfaces contained therein. Classifying smooth 4-dimensional manifolds, in particular, has been a deep challenge for topologists for many decades; unlike in higher dimensions, there is not enough "wiggle room" to turn topological problems into purely algebraic ones. Many of my projects reveal new complications in the topology of 4-manifolds, particularly related to emb