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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

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0111 · Dec 200919922001200920172026
4 results for “globalizability”
On the bisections of a local Lie grpoupodmath.DG

Investigate local Lie group structure of bisections over compact manifolds

problem Study the local Lie group structure associated with the space of admissible bisections of a local Lie groupoid over a compact manifold.
method Investigate the relation of this local Lie group to the Lie algebra of sections of the associated Lie algebroid.
result Prove that the globalizability of a local Lie groupoid implies the globalizability of its associated local Lie group of bisections.
Lie groupbisectionscompact manifoldLie algebroidglobalizability
2026-06-17abs ↗pdf ↗
Intrinsic characteristic classes for a local Lie groupmath.DG

For a local Lie group M we define odd order cohomology classes. The first class is an obstruction to globalizability of the local Lie group. The third class coincides with Godbillon-Vey class in a particular case. These classes are secondary as they emerge when curvature vanishes.

2009-12-04abs ↗pdf ↗
Partial Groupoid Actions on Smooth Manifoldsmath.DG

Smooth actions on manifolds can be globally defined under certain conditions.

problem Globalizing partial smooth actions of Lie groupoids on smooth manifolds.
method Providing necessary and sufficient conditions for globalizability and analyzing orbit and stabilizer spaces.
result There exists a unique differentiable structure on the quotient space for free and proper actions.
Lie groupoidpartial actionglobalizationsmooth manifoldorbit space
2023-11-29abs ↗pdf ↗