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.
Smooth solutions and classification of Dirac-Einstein equations on 3-manifolds.
Paper proves existence of solutions for a specific system.
Study Dirac-Einstein equations on manifolds with boundary, focusing on constant volume and chiral conditions.
Paper finds singular solutions for a specific physics problem on a sphere.
In this paper we study the Palais-Smale sequences of the conformal Dirac-Einstein problem. After we characterize the bubbling phenomena, we prove an Aubin type result leading to the existence of a positive solution. Then we show the existence of infinitely many solutions to the problem provided that the underlying mani…
The paper proves compactness for Dirac-Einstein spin manifolds.
New flow deforms Riemannian metrics smoothly.
Study shows strict inequality for Dirac-type equation on spin manifolds, leading to existence results.