User Mike Usher

22 votes

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Why $\partial$ and $\bar{\partial}$ defined in that way (the Wirtinger derivatives)?

answered Mar 30, 2012 at 3:38

22 votes

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Operations via Morse Theory

answered Jul 1, 2012 at 14:20

21 votes

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Manifolds distinguished by Gromov-Witten invariants?

answered Oct 24, 2009 at 3:25

19 votes

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Is the Fukaya category "defined"?

answered Oct 28, 2009 at 0:07

15 votes

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The core question of topology

answered Oct 17, 2009 at 16:51

13 votes

The "miracle" of Heegard Floer.

answered Nov 3, 2009 at 1:21

13 votes

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Why (and whether) is any smooth embedded torus in R^4 isotopic to an embedded Lagrangian torus?

answered Dec 10, 2009 at 5:20

11 votes

Special Hamiltonian diffeomorphisms

answered Oct 5, 2010 at 1:03

10 votes

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symplectic structure of tangent bundle of $\mathbb{S}^{n-1}$

answered Nov 30, 2013 at 17:34

9 votes

Examples of non-Kahler compact symplectic manifolds.

answered Sep 22, 2012 at 1:15

7 votes

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Symplectic blow-up

answered Jun 14, 2013 at 1:56

7 votes

Compact Kaehler manifolds that are isomorphic as symplectic manifolds but not as complex manifolds (and vice-versa)

answered Oct 15, 2009 at 22:50

7 votes

Would it make sense to have someone write separate teaching and non-teaching letters of reference for one candidate?

answered Jan 30, 2011 at 14:58

7 votes

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Minimal genus, adjunction inequality

answered Dec 13, 2011 at 4:26

7 votes

Does symplectic cohomology admit a natural Batalin-Vilkovisky algebra structure?

answered Dec 25, 2011 at 16:00

6 votes

Compactify S^2\times S^2-\Delta

answered Oct 12, 2010 at 0:59

6 votes

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Lagrangian submanifold containing a curve

answered Dec 8, 2011 at 3:28

6 votes

Perturbation of Morse function

answered Jul 1, 2012 at 16:34

5 votes

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How many Symplectic Structures on CP^n?

answered Aug 31, 2011 at 1:56

4 votes

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codimension of bubbling of disk and sphere

answered Aug 31, 2011 at 2:22

4 votes

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What are some conserved quantities of Poisson brackets?

answered Oct 21, 2009 at 3:32

4 votes

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Legendrian homotopy of curves in a contact structure?

answered Oct 18, 2009 at 0:00

4 votes

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symplectic volume of embedded J-holomorphic disk

answered Oct 12, 2010 at 14:01

3 votes

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Examples of symplectic non-Kahler classes.

answered Oct 16, 2010 at 23:31

3 votes

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On the de Rham cohomology of 1-forms in cotangent bundle.

answered Jan 11, 2013 at 1:02

2 votes

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Homotopy groups of the blow-ups and monotone symplectic manifolds

answered Oct 17, 2010 at 14:05

2 votes

Geometric calculations using Grassmann variables

answered Oct 20, 2009 at 0:09

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27 Answers

Why $\partial$ and $\bar{\partial}$ defined in that way (the Wirtinger derivatives)?

Operations via Morse Theory

Manifolds distinguished by Gromov-Witten invariants?

Is the Fukaya category "defined"?

The core question of topology

The "miracle" of Heegard Floer.

Why (and whether) is any smooth embedded torus in R^4 isotopic to an embedded Lagrangian torus?

Special Hamiltonian diffeomorphisms

symplectic structure of tangent bundle of $\mathbb{S}^{n-1}$

Examples of non-Kahler compact symplectic manifolds.

Symplectic blow-up

Compact Kaehler manifolds that are isomorphic as symplectic manifolds but not as complex manifolds (and vice-versa)

Would it make sense to have someone write separate teaching and non-teaching letters of reference for one candidate?

Minimal genus, adjunction inequality

Does symplectic cohomology admit a natural Batalin-Vilkovisky algebra structure?

Compactify S^2\times S^2-\Delta

Lagrangian submanifold containing a curve

Perturbation of Morse function

How many Symplectic Structures on CP^n?

codimension of bubbling of disk and sphere

What are some conserved quantities of Poisson brackets?

Legendrian homotopy of curves in a contact structure?

symplectic volume of embedded J-holomorphic disk

Examples of symplectic non-Kahler classes.

On the de Rham cohomology of 1-forms in cotangent bundle.

Homotopy groups of the blow-ups and monotone symplectic manifolds

Geometric calculations using Grassmann variables