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Are there any simply connected parallelizable 4-manifolds?

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#differential-geometry #algebraic-topology #vector-bundles #4-manifolds
250
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Kirby diagrams for nonorientable $4$-manifolds

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#manifolds #differential-topology #geometric-topology #kirby-diagram #4-manifolds
196
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Is there a lower bound on the Euler characteristic of a four-manifold with given fundamental group?

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#differential-topology #geometric-topology #4-manifolds
142
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branched cover over slice disk is a rational ball

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#algebraic-topology #covering-spaces #4-manifolds
110
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An orientable 4-manifold with completely nontrivial 2-type

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#differential-topology #homotopy-theory #fundamental-groups #4-manifolds #higher-homotopy-groups
393
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Morse functions on 4-manifolds

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#geometric-topology #morse-theory #4-manifolds
32
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Is there a known topological space homeomorphic to $(M\times M)/\Bbb Z_2$?

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#general-topology #4-manifolds
157
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Can you construct a hypersphere with a curvature of zero?

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#geometry #curvature #4-manifolds
156
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What is the metric of a surface defined by $0=\phi^2 t^4-x^2-y^2-z^2$?

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#differential-geometry #manifolds #4-manifolds
382
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non-orientable 4-manifolds

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#reference-request #differential-topology #4-manifolds
568
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4-Manifolds of which there exist no Kirby diagrams

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#geometry #differential-topology #low-dimensional-topology #kirby-diagram #4-manifolds
81
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Proof explanation: every 2-sphere in the boundary of a 4-dim handlebody bounds a 3-ball

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#general-topology #differential-geometry #geometric-topology #4-manifolds
154
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How many angles it's needed to define 2-plane in 4d?

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#plane-geometry #4-manifolds
193
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How do I calculate the circumference of a n-sphere?

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#geometry #spheres #4-manifolds
171
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Proof of the Extended Reeb's Theorem for dimensions less than 7

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#smooth-manifolds #morse-theory #4-manifolds

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