Math @ Duke
|
Publications [#343476] of Adam S. Levine
Papers Published
- Levine, AS; Lidman, T, SIMPLY CONNECTED, SPINELESS 4-MANIFOLDS,
Forum of Mathematics, Sigma
(January, 2019) [doi]
(last updated on 2024/04/23)
Abstract: We construct infinitely many compact, smooth 4-manifolds which are homotopy equivalent to S2 but do not admit a spine (that is, a piecewise linear embedding of S2 that realizes the homotopy equivalence). This is the remaining case in the existence problem for codimension-2 spines in simply connected manifolds. The obstruction comes from the Heegaard Floer d invariants.
|
|
dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
| |
Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
|
|