Witten spinors on nonspin manifolds

DOI10.1007/s00220-013-1804-0zbMath1316.53057arXiv1112.0194OpenAlexW3101404898MaRDI QIDQ380341

Anda Degeratu, Mark Stern

Publication date: 13 November 2013

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.0194

zbMATH Keywords

harmonic spinorsasymptotically flat endshardy inequalitiesincomplete spin structuresWitten spinor

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)

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Uses Software

• OpenCourseWare

Cites Work

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• On Witten's proof of the positive energy theorem
• Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
• Positive scalar curvature in dim \(\geq 8\)
• Conformal deformation of a Riemannian metric to constant scalar curvature
• Stability of transversality to a stratification implies Whitney (a)- regularity
• On the proof of the positive mass conjecture in general relativity
• A new proof of the positive energy theorem.
• Proof of the Riemannian Penrose inequality using the positive mass theorem.
• Tangents to an analytic variety
• Pure Hodge structure on the L2 -cohomology of varieties with isolated singularities
• Coordinate Invariance and Energy Expressions in General Relativity
• The mass of an asymptotically flat manifold
• The Yamabe problem
• $L^2 - \overline \partial$-Cohomology of Complex Projective Varieties
• Characteristic Classes. (AM-76)
• Differential Topology
• The Geometry of Immersions. I

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