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Relation of Euler number of a line bundle over a Riemann surface and a section of it with finitely many isolated singularities

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#algebraic-topology #differential-topology #complex-geometry #vector-bundles #riemann-surfaces
131
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Differential Form Integral (Work?) on C-Space of Robot Arm?

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#ordinary-differential-equations #differential-topology #classical-mechanics #robotics
68
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Two questions about tangent bundles (Resolved)

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#differential-geometry #differential-topology #vector-bundles #tangent-bundle
83
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$S^2$ Exact form in Geometry, Topology and Physics Example 6.7

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#differential-topology
231
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one-sided projective plane vs two-sided projective plane

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#general-topology #manifolds #differential-topology
231
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Smooth Map between the smooth manifolds $GL_n(\mathbb{R})$ and $S_n(\mathbb{R})$

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#differential-topology #smooth-manifolds #smooth-functions
118
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Understanding what a topological germ is

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#general-topology #differential-topology
103
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Neighbourhood retract of a loop

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#differential-topology #geometric-topology #low-dimensional-topology
90
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Understand the topology of this 4-dimensional data.

Published on
#manifolds #differential-topology #low-dimensional-topology
439
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Embedding Real Projective Space in Sphere

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#general-topology #differential-topology #smooth-manifolds #smooth-functions
505
Views

Showing that the set of fixed points is a smooth manifold

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#differential-topology #smooth-manifolds
377
Views

Every homotopy equivalence of closed surface is homotopic to a homeomorphism

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#algebraic-topology #differential-topology #surfaces #manifolds-with-boundary #mapping-class-group
104
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Pushforward of domain v.s. pullback of form

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#algebraic-topology #differential-topology #smooth-manifolds #differential-forms
113
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Transversality in $\mathbb{R}^2$

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#differential-geometry #differential-topology #transversality
327
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Derivative of extended Logarithmic map in SO3 used in chain rule

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#functions #differential-geometry #manifolds #differential-topology #rotations

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