Paolo Ghiggini
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Registered User
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Jun 11 |
accepted | Contact structures and adjunction inequality in 3-manifolds |
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Jun 10 |
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Behavior of Reeb vector field (or almost contact 1-form), and “Contact instanton” An almost contact structure is not just a nowhere vanishing one-form. This is true in dimension 3, but in higher dimension you also need a 2-form which is non-degenerate in the kernel of the 1-form. |
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Jun 10 |
awarded | ● Commentator |
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Jun 10 |
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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. |
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Jun 10 |
answered | Contact structures and adjunction inequality in 3-manifolds |
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Jun 7 |
answered | Research topics restricted to students at top universities? |
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Jun 1 |
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Fibration in the 3 torus. The plural of torus is tori. |
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Dec 30 |
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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". |
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Dec 29 |
accepted | 2Pi and 4Pi rotations in the Pin(1,3) group |
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Dec 29 |
answered | 2Pi and 4Pi rotations in the Pin(1,3) group |
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Dec 25 |
answered | Applications of Floer homology |
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Dec 23 |
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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. |
