A combinatorial spanning tree model for knot Floer homology
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Published Version (Please cite this version)10.1016/j.aim.2012.06.006
Publication InfoLevine, Adam; & Baldwin, John A (2012). A combinatorial spanning tree model for knot Floer homology. Advances in Mathematics, 231(3-4). pp. 1886-1939. 10.1016/j.aim.2012.06.006. Retrieved from https://hdl.handle.net/10161/17713.
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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