Live briefing
Everything about Stable normal bundle
Concept in mathematics
In surgery theory, a branch of mathematics, the stable normal bundle of a differentiable manifold is an invariant which encodes the stable normal data. There are analogs for generalizations of manifold, notably PL-manifolds and topological manifolds. There is also an analogue in homotopy theory for Poincaré spaces, the Spivak spherical fibration, named after Michael Spivak. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Stable normal bundleA 5-minute orientation
- Skim a recent paper: The normal bundle of a general canonical curve of genus at least 7 is semistableInfluential work since 2022
- Pick up a classic book: Applied Equivariant DegreeThe most-reprinted book on the subject
- Read the landmark paper: On the conormal bundle of a G -stable subvarietyCited 15 times
- Go sideways: Normal invariantA closely related topic
- Go sideways: Immersion (mathematics)A closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
On the conormal bundle of a G -stable subvariety
A Space Curve whose Normal Bundle is Stable
Some more examples of curves in P3 with stable normal bundle.
On the existence of curves in $ℙ^n$ with stable normal bundle
Constructing stable vector bundles from curves with torsion normal bundle
Stratification of the Hilbert scheme of space curves with a stable normal bundle
Space curves of genus 7 and degree 8 on a non-singular cubic surface with stable normal bundle
Extendibility and stable extendibility of the square of the normal bundle associated to an immersion of the real projective space
🆕 Influential since 2022
📚 Books worth reading
Applied Equivariant DegreeWiesław Krawcewicz · 2006
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Normal invariant In mathematics, a normal map is a concept in geometric topology due to William Browder which is of fundamental importance in surgery theory. Given a Poincaré…
- Immersion (mathematics) In mathematics, an immersion is a differentiable function between differentiable manifolds whose differential pushforward is everywhere injective. Explicitly…
- Homotopy In topology, two continuous functions from one topological space to another are called homotopic (from Ancient Greek: ὁμός homós 'same, similar' and τόπος…
- Glossary of algebraic topology This is a glossary of properties and concepts in algebraic topology in mathematics. See also: glossary of topology, list of algebraic topology topics,…
- Obstruction theory In mathematics, obstruction theory is a name given to two different mathematical theories, both of which yield cohomological invariants. In the original…
- Surgery theory In mathematics, specifically in geometric topology, surgery theory is a collection of techniques used to produce one finite-dimensional manifold from another…
- Glossary of differential geometry and topology This is a glossary of terms specific to differential geometry and differential topology. The following three glossaries are closely related: Glossary of…
- Stiefel manifold In mathematics, the Stiefel manifold Vk(ℝn) is the set of all orthonormal k-frames in ℝn; that is, the set of ordered orthonormal k-tuples of vectors in…