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Show that any almost complex structure is induced by at most one complex structure.

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#differential-geometry #complex-geometry #almost-complex
128
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Decompositions of exterior products

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#linear-algebra #abstract-algebra #tensor-products #exterior-algebra #almost-complex
107
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Understanding the almost complex structure of a complex manifold

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#intuition #complex-manifolds #almost-complex
83
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Hyperkähler structure of Quaternion

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#differential-geometry #complex-geometry #quaternions #kahler-manifolds #almost-complex
73
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Symplectic forms on $\mathbb{C}P^3$ with trivial first Chern class

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#symplectic-geometry #almost-complex
58
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Integral Stiefel-Whitney classes and stable almost complex structure

Published on
#vector-bundles #characteristic-classes #almost-complex
282
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Almost hermitian manifolds with closed symplectic form

Published on
#differential-geometry #almost-complex
537
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Conjugation in the complexification of a vector space switches its type

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#linear-algebra #vector-spaces #tensor-products #almost-complex
602
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almost complex structures on $R^4$

Published on
#algebraic-topology #homotopy-theory #almost-complex
148
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Almost complex structure gluing

Published on
#general-topology #complex-geometry #cobordism #almost-complex
1.8k
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Does every even-dimensional sphere admit an almost complex structure?

Published on
#algebraic-topology #differential-topology #almost-complex
418
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smooth vs. analytic in the definition of almost-complex manifolds

Published on
#smooth-manifolds #analyticity #almost-complex
51
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Parametrizing linear complex structures

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#linear-algebra #complex-geometry #symplectic-linear-algebra #almost-complex
729
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Is there a natural Dolbeault operator on a almost holomorphic vector bundle?

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#complex-geometry #vector-bundles #holomorphic-bundles #almost-complex
338
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Equilateral triangle in complex number

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#complex-numbers #almost-complex

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