bio | website | dm.unipi.it/~martelli |
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location | Pisa (Italy) | |
age | 41 | |
visits | member for | 4 years, 3 months |
seen | 2 hours ago | |
stats | profile views | 3,377 |
Assistant professor (ricercatore) at Math Dept (University of Pisa)
Aug 28 |
awarded | Popular Question |
Aug 25 |
comment |
Is a generic closed orientable hyperbolic 3-manifold Haken?
are we sure that any configuration of tetrahedra appears with probability one? This does not hold for graphs (some graphs almost never appear as subgraphs of a random 4-valent graph). |
Aug 24 |
comment |
Is a generic closed orientable hyperbolic 3-manifold Haken?
I see, if you fix the genus g then every manifold has Betti number at most g and a generic splitting has transverse lagrangians, hence it is a rational homology sphere. It would be nice to understand if a random manifold is Haken with this model. |
Aug 24 |
comment |
Is a generic closed orientable hyperbolic 3-manifold Haken?
I think there is nothing really proved about gluing randomly tetrahedra, because it is very hard to control if the resulting object is a manifold. Moreover, we don't even know if the number of triangulations of S^3 with n tetrahedra grows exponentially with n or more. As far as we know, it might even be that a random triangulated 3-manifold is S^3 - although that sounds really unlikely. |
Aug 24 |
comment |
Is a generic closed orientable hyperbolic 3-manifold Haken?
I would guess that in many reasonable models a random 3-manifold has arbitrarily high Betti number, just like a random surface has arbitrarily high genus. |
Jul 22 |
revised |
Why are Witten-Reshetikhin-Turaev invariants expected to be integral?
added 19 characters in body |
Jul 20 |
revised |
Why are Witten-Reshetikhin-Turaev invariants expected to be integral?
explain better |
Jul 20 |
revised |
Why are Witten-Reshetikhin-Turaev invariants expected to be integral?
explain better |
Jul 20 |
answered | Why are Witten-Reshetikhin-Turaev invariants expected to be integral? |
Jul 19 |
revised |
A question about Dehn surgery and Brieskorn homology 3-spheres
fix |
Jul 19 |
answered | A question about Dehn surgery and Brieskorn homology 3-spheres |
Jul 18 |
comment |
What 3-manifolds can be obtained by gluing $ S^1 \times P $ and two copies of $S^1 \times D^2$
Yes (answer to second question) the number "p" in (p,q) is precisely that geometric intersection |
Jul 18 |
comment |
What 3-manifolds can be obtained by gluing $ S^1 \times P $ and two copies of $S^1 \times D^2$
The gluing of a solid torus is parametrized simply by looking at the image (p,q) of the meridian: the image of the longitude is useless here, see en.wikipedia.org/wiki/Dehn_surgery You get: (0,1) is fiber-parallel, and (1,q) is non-exceptional. |
Jul 17 |
answered | What 3-manifolds can be obtained by gluing $ S^1 \times P $ and two copies of $S^1 \times D^2$ |
Jul 2 |
awarded | Curious |
Jun 16 |
awarded | Notable Question |
Jun 5 |
reviewed | Approve suggested edit on unique enhancement for derived categories |
May 20 |
awarded | Yearling |
May 20 |
answered | undergraduate handle decomposition. Reference |
May 12 |
awarded | Nice Answer |