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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.

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3 results for “Paradan-Vergne”

A transverse Chern character for compact Lie group actionsmath.DG

Explores new perspectives in transverse index theory for Lie group actions.

problem Transverse index theory for compact Lie group actions.

method Kasparov's work on transverse index theory, connections to Berline-Vergne and Paradan-Vergne.

result Potential connections and new insights in transverse index theory.

transverse index theory compact Lie group actions Kasparov's work Berline-Vergne Paradan-Vergne

2022-11-08abs ↗pdf ↗

A KK-theoretic perspective of quantization commutes with reductionmath.KT

Reinterprets quantization commutes with reduction using KK-theory.

problem Quantization commutes with reduction in geometric quantization.

method Uses KK-theory and recent formalism by Kasparov to simplify and clarify the index theoretic parts.

result Shows conceptual simplifications and clearer relationship to Ma-Tian-Zhang approach.

KK-theory quantization commutes with reduction index theory geometric quantization

2020-11-01abs ↗pdf ↗

An equivariant index formula for elliptic actions on contact manifoldsmath.DG

Given an elliptic action of a compact Lie group $G$ on a co-oriented contact manifold $(M,E)$ one obtains two naturally associated objects: A $G$ -transversally elliptic operator $\dirac$, and an equivariant differential form with generalised coefficients $\mathcal{J}(E,X)$ defined in terms of a choice of contact form o…

2007-12-14abs ↗pdf ↗