Definitions
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- adjective topology Not
compact .
Etymologies
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Examples
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The blow-up of singularities usually produces noncompact solutions,and the proof of convergence to the blow-up limit always depends on Shi's derivative estimates; so Shi's work is central to all the limit arguments Perelman and I use.
Quick note: Yau vs New Yorker Sun Bin 2006
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Xiong pioneered the study of the Ricci Flow on complete noncompact manifolds,and in addition to many beautiful arguments he proved the local derivative estimates for the Ricci Flow.
Quick note: Yau vs New Yorker Sun Bin 2006
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Open/closed topological string theories for noncompact, local manifolds were solved in this century by Vafa and various collaborators (with Dijkgraaf: via matrix model; with Aganagič and others: using the topological vertex).
The Reference Frame 2010
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Motivation comes from string field theory of the B-model (Kodaira-Spencer theory) for the noncompact case.
The Reference Frame 2010
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It’s taking something noncompact and making it compact!
Compactification in String Theory Part I: Motivation « Imaginary Potential 2008
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