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The Least Spanning Area of a Knot and the Optimal Bounding Chain Problem
Least Spanning Area Knot Optimal Bounding Chain Problem
2011/3/2
Two fundamental objects in knot theory are the minimal genus surface and the least area surface bounded by a knot in a 3-dimensional manifold.
Symmetries and adjunction inequalities for knot Floer homology
Symmetries adjunction inequalities knot Floer homology
2011/1/21
We derive symmetries and adjunction inequalities of the knot Floer homology groups which appear to be especially interesting for homologically essential knots.