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Everything about Bundle map
In mathematics, a bundle map is a function that relates two fiber bundles in a way that respects their internal structure. Fiber bundles are mathematical objects that locally look like a cartesian product of a base space and another space, the typical "fiber", but may have more complex global structure. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Bundle mapA 5-minute orientation
- Skim a recent paper: Renault's j-map for Fell bundle C⁎-algebrasInfluential work since 2022
- Pick up a classic book: Asymptotic behaviour of tame harmonic bundles and an application to pure twister D-modulesThe most-reprinted book on the subject
- Read the landmark paper: Applications of bundle map theoryCited 50 times
- Go sideways: Fiber bundleA closely related topic
- Go sideways: Section (fiber bundle)A closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Applications of bundle map theory
Flow pattern map and multi-scale entropy analysis in 3 × 3 rod bundle channel
A perimetric nerve fiber bundle map
Comparison of total body surface map depolarization patterns of left bundle branch block and normal axis with left bundle branch block and left-axis deviation.
Generalised connections over a vector bundle map
Body surface map patterns of altered depolarization and repolarization in right bundle branch block.
Nonholonomic mechanics and connections over a bundle map
Geometric Aspects of the Maximum Principle and Lifts over a Bundle Map
🆕 Influential since 2022
Renault's j-map for Fell bundle C⁎-algebras
Mapping of Left Bundle Anatomy in Left Ventricle Facilitates Left Bundle Pacing
Albanese map for Kähler manifolds with nef anticanonical bundle
Unveiling the conceptual and intellectual map of care bundle research in ICUs : Trends, key issues, and collaborative networks
Precise landmark-map for bundle adjustment LiDAR odometry
📚 Books worth reading
- 📕Asymptotic behaviour of tame harmonic bundles and an application to pure twister D-modulesTakuro Mochizuki · 2007
Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor $D$-Modules, Part 1 (Memoirs of the American Mathematical Society) (Memoirs of the American Mathematical Society)Takuro Mochizuki · 2006- 📕Moduli of representations of the fundamental group of a smooth projective varietyCarlos Simpson, Jeremy Rickard · 1994
Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor $D$-Modules, Part 2 (Memoirs of the American Mathematical Society) (Memoirs of the American Mathematical Society)Takuro Mochizuki · 2006
String-Math 2016Amir-Kian Kashani-Poor, Ruben Minasian · 2018
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Fiber bundle In mathematics, and particularly topology, a fiber bundle (Commonwealth English: fibre bundle) is a space that is locally a product space, but globally…
- Section (fiber bundle) In the mathematical field of topology, a section (or cross section) of a fiber bundle E {\displaystyle E} is a continuous right inverse of the projection…
- Associated bundle In mathematics, the theory of fiber bundles with a structure group G {\displaystyle G} (a topological group) allows an operation of creating an associated…
- Thom's first isotopy lemma In mathematics, especially in differential topology, Thom's first isotopy lemma states: given a smooth map f : M → N {\displaystyle f:M\to N} between smooth…
- Serre–Swan theorem In the mathematical fields of differential geometry, topology and algebraic geometry, the Serre–Swan theorem, also called Swan's theorem, relates the geometric…
- Banach bundle In mathematics, a Banach bundle is a vector bundle each of whose fibres is a Banach space, i.e. a complete normed vector space, possibly of infinite dimension…
- Principal bundle In the mathematical area of topology, a principal bundle is a mathematical object that formalizes some of the essential features of the Cartesian product…
- Vector bundle In mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space X…