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15
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Second Stiefel-Whitney class of self-dual two forms of four manifolds

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#riemannian-geometry #characteristic-classes #hodge-theory #4-manifolds
64
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Generalization of Helmholtz theorem to differential forms?

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#differential-forms #hodge-theory #exterior-derivative
44
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For $\alpha\in A^{p,q}(X)\cap\ker d$, is $\partial\mathcal H_{\bar\partial}\alpha=0?$

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#differential-geometry #algebraic-geometry #complex-geometry #hodge-theory
113
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What does it mean for a 1-form to be orthogonal to a 2-form?

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#differential-geometry #riemannian-geometry #differential-forms #hodge-theory
47
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Why should analytic classes sit inside $H^{p,p}(X)$ for various values of $p>0$?

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#complex-geometry #several-complex-variables #hodge-theory #algebraic-cycles
94
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Products of antiharmonic forms (or functions) with harmonic forms

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#differential-geometry #complex-geometry #kahler-manifolds #hodge-theory
45
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Does a co-exact 1-form generate a Hamiltonian vector field?

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#differential-geometry #riemannian-geometry #symplectic-geometry #hodge-theory
67
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Can we infer Betti numbers of a family degenerating to a variety from the variety?

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#algebraic-geometry #homology-cohomology #hodge-theory #etale-cohomology
56
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Laplacian of standard hermitian inner product on $C^n$.

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#differential-geometry #complex-geometry #laplacian #hodge-theory
173
Views

Compactly supported harmonic forms

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#differential-geometry #riemannian-geometry #smooth-manifolds #hodge-theory
97
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What is the definition of a fiber of a vector bundle in algebraic geometry?

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#algebraic-geometry #algebraic-number-theory #complex-geometry #hodge-theory
121
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Laplacian comparison with Lefschetz decomposition

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#differential-geometry #algebraic-geometry #complex-geometry #kahler-manifolds #hodge-theory
221
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Equivalence of two definitions of Laplace-Beltrami on differential forms

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#differential-geometry #laplacian #hodge-theory
155
Views

Applications of the Lefschetz Hyperplane Theoren

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#algebraic-geometry #algebraic-topology #hodge-theory #projective-varieties
191
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What can we say about the divergence of Hamiltonian vector fields?

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#riemannian-geometry #symplectic-geometry #divergence-operator #kahler-manifolds #hodge-theory

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