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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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2 results for G2-monopoles

The study examines asymptotic properties of G2-monopoles on nonparabolic G2-manifolds.

problem Investigating the asymptotic behavior of G2-monopoles on nonparabolic G2-manifolds.
method Proof of finite mass for monopoles with bounded curvature on nonparabolic G2-manifolds; sharp decay estimates and convergence to pseudo-Hermitian--Yang--Mills connection on asymptotically conical G2-manifolds.
result Sharp decay estimates and convergence to pseudo-Hermitian--Yang--Mills connection on asymptotically conical G2-manifolds.

Study of large mass limits of G2 and Calabi-Yau monopoles on specific manifolds.

problem Understanding the behavior of monopoles in the large mass limit on G2 and Calabi-Yau manifolds.
method Developed a structure theory for the limit of SU(2)SU(2) G2G_2-monopoles and Calabi-Yau monopoles, extracting singular abelian G2-monopoles with Dirac singularities.
result Proved an energy identity for monopole bubbles in the large mass limit.