Jim Conant
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Registered User
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I like low-dimensional topology and geometric group theory. I'm particularly drawn to problems that involve algebraic spaces of graphs, such as graph homology.
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May 13 |
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“monotone” homotopy? Interesting question. It took me a little time to find the infinitely many classes for $I$ with two points! What does the word "monotone" refer to? |
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May 11 |
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Compact open topology I share your "weakness." |
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Apr 30 |
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Definition of “simplicial complex” Some of my favorite spaces. :) |
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Apr 14 |
awarded | ● Popular Question |
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Apr 9 |
awarded | ● Popular Question |
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Apr 7 |
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sh Lie algebra cohomology @jim stasheff: I doubt a statement like this is true for sh Lie algebras. Thinking about homology as opposed to cohomology, for regular Lie algebras the entire differential on the chain complex is determined by the differential from degree 2 to degree 1, which basically comes from the Lie bracket itself. For an sh Lie algebra the sh Lie operation's effect on the differential occurs arbitrarily high up in the chain complex, so it seems to me that $H^1$ would be insufficient to guarantee being a derivation with respect to the whole sh structure. |
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Apr 5 |
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Combinatorial distance between simplicial complexes I wonder how this compares to Gromov-Hausdorff distance with respect to a standard metric on simplicial complexes. |
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Mar 31 |
awarded | ● Nice Answer |
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Mar 27 |
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What is the smallest cardinality a topology can have which is c.c.c but not separable (in ZFC)? Just out of curiosity, what does "c.c.c." stand for? |
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Mar 14 |
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Understanding four manifolds (more details inside) Definitely a good foundational text. (Although it apparently has some mistakes.) |
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Mar 7 |
accepted | When do submanifolds lie in the same homology class? |
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Mar 5 |
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Vassilliev invariants of knots and their cables @RoddyBad: I thought so too at first, but I no longer think so. The symmetry exchanging $p$ and $q$ in a torus knot comes from the fact that there is a symmetry of an unknotted torus exchanging longitude and meridian. However there is no such symmetry for a knotted torus. $p$ and $q$ play essentially different roles. |
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Mar 3 |
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Vassilliev invariants of knots and their cables Good luck. I think there are enough ideas in this and Ryan's answer for you to analyze the general case. |
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Mar 3 |
accepted | Vassilliev invariants of knots and their cables |
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Mar 3 |
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Are there non-compact, non-smoothable manifolds? Stupid example: take the union of a compact non-smoothable manifold with a noncompact manifold. |
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Feb 28 |
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Vassilliev invariants of knots and their cables Just Google "Vassiliev invariants for torus knots." You should get their paper. |
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Feb 28 |
answered | Vassilliev invariants of knots and their cables |
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Feb 27 |
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Vassilliev invariants of knots and their cables If $v_k$ is a type $k$ invariant, the invariant $K\mapsto v_k(K_{p,q})$ is also type $k$. In particular, since there are only two invariants for knots of type $\leq 2$, the second coefficient of the Conway polynomial and the constant function, it follows that v_2(K_{p,q})=a v_2+ b for some constants a and b that depend on $p,q$. So you just have to calculate a couple of examples to work out what $a$ and $b$ are. |
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Feb 27 |
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Why doesn’t this group have a name? @Qfwfq: but why do p-adics have primacy? (Pun intended.) I could make a similar case that we need to go around changing every $\mathbb Z_p$ for $p$-adics to a different notation. |
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Feb 26 |
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difference between boysurface and tetrahemihexahedron I'm heartbroken that my math.stackexchange answer was not sufficient. ;) |
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Feb 25 |
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Dumbbell shaped domain What do you mean by thin tube? A neighborhood of an arc? The boundary of a neighborhood of an arc? |
