2001/04/03 by Christian Bohr, Bohr, Christian, Ronnie Lee +1
Mathematics · #57M27 #57R90 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M27 #msc:57R90
paper · pdf · doi:10.48550/arxiv.math/0104042
arxiv created 2001/04/03 · arxiv updated 2009/11/30
In this paper we define and investigate Z/2-homology cobordism invariants of Z/2-homology 3-spheres which turn out to be related to classical invariants of knots. As an application we show that many lens spaces have infinite order in the Z/2-homology cobordism group and we prove a lower bound for the slice genus of a knot on which integral surgery yields a given Z/2-homology sphere. We also give some new examples of 3-manifolds which cannot be obtained by integral surgery on a knot.