Publications [#328061] of Adam S. Levine

Papers Published

1. Levine, AS; Ruberman, D; Strle, S; Gessel, IM, Nonorientable surfaces in homology cobordisms, Geometry and Topology, vol. 19 no. 1 (February, 2015), pp. 439-494, Mathematical Sciences Publishers [doi]
   (last updated on 2026/01/15)

   Abstract:
   We investigate constraints on embeddings of a nonorientable surface in a 4–manifold with the homology of M × I, where M is a rational homology 3–sphere. The constraints take the form of inequalities involving the genus and normal Euler class of the surface, and either the Ozsváth–Szabó d –invariants or Atiyah–Singer ρ– invariants of M. One consequence is that the minimal genus of a smoothly embedded surface in L(2k, q) × I is the same as the minimal genus of a surface in L(2k, q). We also consider embeddings of nonorientable surfaces in closed 4–manifolds.