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Coordinate-free proof of non-degeneracy of symplectic form on cotangent bundle

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#symplectic-geometry #symplectic-linear-algebra #tangent-bundle #almost-complex
88
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Lagrangian subspace is preserved by almost complex structure

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#differential-geometry #symplectic-geometry #symplectic-linear-algebra
83
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"Cauchy-Schwartz" for symplectic forms

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#symplectic-geometry #cauchy-schwarz-inequality #symplectic-linear-algebra
238
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Circle and Torus actions

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#algebraic-topology #symplectic-geometry
195
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Cohomology classes of regular level sets of moment maps

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#group-actions #classical-mechanics #symplectic-geometry
384
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Intrinsic derivative of a vector field at a zero

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#derivatives #vector-fields #symplectic-geometry
811
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Sp(2n, R) = SL(2n, R)

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#linear-algebra #lie-groups #symplectic-geometry #symplectic-linear-algebra
311
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symplectic structure and non degenerate form

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#lie-algebras #symplectic-geometry
283
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poisson and hamiltonian vector fields

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#vector-fields #symplectic-geometry #hamiltonian-path #poisson-geometry
191
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Are Hamiltonian trajectories geodesics on the cotangent bundle?

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#differential-geometry #riemannian-geometry #symplectic-geometry #hamiltonian-path #hamilton-equations
352
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Space of tamed almost complex structures

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#differential-geometry #complex-geometry #symplectic-geometry
543
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Examples of moduli space $J$-holomorphic curves

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#differential-geometry #algebraic-geometry #complex-geometry #symplectic-geometry
74
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Open subsets of the space of smooth structures

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#functional-analysis #differential-geometry #symplectic-geometry
2.7k
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Why does every symplectic matrix $M\in{\rm Sp}(2n,{\Bbb R})$ admit a symplectic eigenbasis?

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#linear-algebra #matrices #eigenvalues-eigenvectors #symplectic-geometry #symplectic-linear-algebra
155
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Moduli space of lines in $\mathbb{CP}^3$

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#differential-geometry #algebraic-geometry #symplectic-geometry

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