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Grassmannian $Gr_{\mathbb{R}}(r, n)$ and $Gr_{\mathbb{C}}(r, n)$ as homogeneous space?

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#differential-geometry #algebraic-geometry #quotient-spaces #grassmannian #homogeneous-spaces
151
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What vector bundles are tangent bundles of smooth manifolds?

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#category-theory #smooth-manifolds #vector-bundles #grassmannian #tangent-bundle
304
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Canonical bundle of the Lagrangian Grassmannian

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#algebraic-geometry #multilinear-algebra #symplectic-geometry #grassmannian
1.1k
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Viewing complex projective space as a Grassmannian manifold

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#differential-geometry #manifolds #smooth-manifolds #projective-space #grassmannian
706
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Open cover of a grassmannian

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#algebraic-geometry #grassmannian
243
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Grassmannian as a fiber bundle over $U(n)$.

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#algebraic-geometry #algebraic-topology #vector-bundles #fiber-bundles #grassmannian
494
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Ideal generating the Grassmannian

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#algebraic-geometry #commutative-algebra #grassmannian
498
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Line bundles on Grassmannians $Gr(m, n)$ and $Gr(n-m, n)$

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#algebraic-geometry #projective-geometry #grassmannian
258
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Koszul complex on Grassmannian

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#algebraic-geometry #exact-sequence #grassmannian
107
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Is $SU(n)$ a CW group?

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#algebraic-topology #lie-groups #topological-groups #cw-complexes #grassmannian
195
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Grassmannians $G(k, n)$ and $G(n-k, n)$ are diffeomorphic

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#differential-geometry #smooth-manifolds #grassmannian
262
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Pullback of the top exterior power of the tautological subbundle on Grassmannian

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#algebraic-geometry #invariant-theory #grassmannian
190
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K-theory of the Grassmannians

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#differential-geometry #grassmannian #k-theory #algebraic-k-theory
868
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Cohomology ring of Grassmanian

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#algebraic-topology #homology-cohomology #characteristic-classes #grassmannian
35
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Order of Set Operations (Quotient and Product)

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#soft-question #notation #grassmannian

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