Differently knotted symplectic surfaces in D^4 bounded by the same transverse knot

Abstract

In this paper we show that there are two symplectic surfaces in the 4-ball which bound the same transverse knot, have the same topology (as abstract surfaces), and are distinguished by the fundamental groups of their complements.

3 pages (4 including references), 1 figure; for associated Python code, see http://www-math.mit.edu/~seidel/geng/; corrected typo at bottom of page 2 (third relation)

References in corpus (2)

• Stabilization in the braid groups II: Transversal simplicity of knots
• On non Fundamental Group Equivalent Surfaces