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Everything about Adjoint bundle
In mathematics, an adjoint bundle is a vector bundle naturally associated with any smooth principal bundle. The fibers of the adjoint bundle carry a Lie algebra structure making the adjoint bundle into a (nonassociative) algebra bundle. Adjoint bundles have important applications in the theory of connections as well as in gauge theory. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Adjoint bundleA 5-minute orientation
- Skim a recent paper: On the positivity of the dimension of the global sections of adjoint bundle for quasi-polarized manifold with numerically trivial canonical bundleInfluential work since 2022
- Pick up a classic book: An effective polynomial bound for base point freeness and point separation of adjoint bundlesThe most-reprinted book on the subject
- Read the landmark paper: On the 2 very ampleness of the adjoint bundleCited 5 times
- Go sideways: Connection (principal bundle)A closely related topic
- Go sideways: Lie bialgebraA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
On the 2 very ampleness of the adjoint bundle
On thek-spannedness of the adjoint line bundle
The completeness of the eigenvectors and associated vectors of a self-adjoint quadratic bundle
On the direct image of the adjoint line bundle
Stability of the tangent bundle of the wonderful compactification of an adjoint group
ON THE DIMENSION OF THE GLOBAL SECTIONS OF THE ADJOINT BUNDLE FOR POLARIZED 5-FOLDS
Real Moment Map and Hyperkähler Geometry Techniques: The Cotangent Bundle to the 2-Sphere and SL(2, ℂ)-Adjoint Orbits
On relative base point freeness of adjoint bundle
🆕 Influential since 2022
📚 Books worth reading
- 📕An effective polynomial bound for base point freeness and point separation of adjoint bundlesEugen Urban Angehrn · 1994
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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