Timeline for What is a higher genus analogue of the Pontryagin product?
Current License: CC BY-SA 3.0
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| Aug 6, 2012 at 23:35 | comment | added | Ryan Budney | There certainly isn't such a statement for the trivial theta curve, since the complement is a handlebody. | |
| Aug 6, 2012 at 4:31 | comment | added | Daniel Moskovich | Thanks for this! This is useful. I'm willing to restrict to knotted theta complements in $S^3$. Do you know whether one can write down, at least in this case, at least a necessary condition for "Σ is a boundary" (what the vanishing of the Pontryagin product says in the torus case) in terms of the basis for Σ inside pi_1 of the manifold? | |
| Aug 5, 2012 at 19:55 | history | answered | Ryan Budney | CC BY-SA 3.0 |