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visits member for 3 years, 2 months
seen Dec 8 at 8:49

May
19
comment Geodesic equation from Christoffel symbols
The answer depends on which is your favourite definition of a geodesic. A possibility would be to take that equation as the definition of a geodesic.
Apr
20
answered Physical and real life interpretation of the concept of regularity used in differential equations?
Feb
16
comment How to compute Conley-Zehnder indices on prequantization spaces?
Can you give a more precise reference, for example to the sections you are referring to?
Feb
16
comment What is the character that compactifies $\mathbb{R}$ through the Gelfand transform?
Are you sure that the Stone–Čech compactification of $\mathbb{R}$ is the one-point compactification? This seems to contradict the universal property stated here: en.wikipedia.org/wiki/… For example, not all continuous functions from $\mathbb{R}$ to $[0,1]$ factor through a map from $S^1$.
Dec
21
answered Trying to Understand Lefschetz Pencils
Jun
25
awarded  Yearling
Jun
10
awarded  Commentator
Jun
10
comment Contact structures and adjunction inequality in 3-manifolds
Yes, but this works for Spin^c structures which are extremal for the adjunction inequality. I don't know what happens in general if M is irreducible but the Spin^c structure is not extremal. In lens spaces one can find examples of Spin^c structures which do not come from tight contact structures, but this is a cheat because lens spaces are rational homology spheres and the adjunction inequality for them is empty. Unfortunately my box of examples contains only Seifert manifolds, which do not help much here.
Jun
10
answered Contact structures and adjunction inequality in 3-manifolds
Jun
7
answered Research topics restricted to students at top universities?
Jun
1
comment Fibration in the 3 torus.
The plural of torus is tori.
Dec
30
comment 2Pi and 4Pi rotations in the Pin(1,3) group
I don't know if it is the best possible reference, but I've learnt this stuff from the first chapter of Morgan's book "Seiberg-Witten equations and the topology of four-manifolds".
Dec
29
answered 2Pi and 4Pi rotations in the Pin(1,3) group
Dec
25
answered Applications of Floer homology
Dec
23
comment maslov index of a holomorphic disk
You should look at some standard reference in symplectic topology: I suggest McDuff-Salamon "Holomorphic curves in symplectic topology" or Seidel's book. Then, you can look at Lipshitz's paper "A cylindrical reformulation of Heegaard Floer homology" where he proves the combinatorial formula for the Maslov indexin Heegaard Floer homology.
Nov
4
awarded  Critic
Oct
10
comment Exotic Spheres Signature
Your claim sounds bizarre: take your favourite 4n-manifold with non-zero signature and remove a ball: then you have a 4n-manifold with non-zero signature, bounding a homotopy sphere, which is however the standard sphere.
Oct
7
comment What is knot contact homology?
You should look at the papers where knot contact homology has been defined: arxiv.org/abs/1109.1542 and its references
Oct
3
comment Topology of K3 as a sum of two abelian fibrations.
Try to look at the book of Gompf and Stipsicz
Oct
1
comment photon propagator
Unfortunately your first equation goes over the links on the right.