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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.

168,742 papers · 148 categories

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2 results for “dg-geometry”
Derived Manifolds as Differential Graded Manifoldsmath.DG

This paper proves equivalence between derived manifolds and differential graded manifolds.

problem Characterizing derived manifolds and their relationship to differential graded manifolds.
method Proving equivalence between the infinity categories of derived manifolds and differential graded manifolds.
result The infinity category of differential graded manifolds is equivalent to that of derived manifolds.
derived manifoldsdifferential graded manifoldsinfinity categoryhomotopy theorydg-geometry
2023-03-20abs ↗pdf ↗
Homotopy moment mapsmath.DG

Associated to any manifold equipped with a closed form of degree >1 is an `L-infinity algebra of observables' which acts as a higher/homotopy analog of the Poisson algebra of functions on a symplectic manifold. In order to study Lie group actions on these manifolds, we introduce a theory of homotopy moment maps. Such a…

2013-04-07abs ↗pdf ↗