Twisted Donaldson invariants

DOI10.1017/S0305004121000013OpenAlexW3129018752MaRDI QIDQ5157852

Hirofumi Sasahira, Tsuyoshi Kato, Hang Wang

Publication date: 20 October 2021

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.08861

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) (K)-theory and homology; cyclic homology and cohomology (19D55) Noncommutative geometry (à la Connes) (58B34) Invariants of 4-manifolds (including Donaldson and Seiberg-Witten invariants) (57K41)

Cites Work

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• Differential topology of complex surfaces. Elliptic surfaces with \(p_ g=1\): smooth classification. With the collaboration of Millie Miss
• Polynomial invariants for smooth four-manifolds
• The cyclic homology of the group rings
• The action functional in non-commutative geometry
• On the Donaldson polynomials of elliptic surfaces
• A stable cohomotopy refinement of Seiberg-Witten invariants. I
• Stable cohomotopy Seiberg-Witten invariants of connected sums of four-manifolds with positive first Betti number. II: Applications
• Splitting 4-manifold with infinite cyclic fundamental group
• Cyclic cohomology, the Novikov conjecture and hyperbolic groups
• The orientation of Yang-Mills moduli spaces and 4-manifold topology
• Embedded surfaces and the structure of Donaldson's polynomial invariants
• The Künneth formula in periodic cyclic homology
• Superconnections and higher index theory
• Group cohomology with Lipschitz control and higher signatures
• Curvature, connected sums, and Seiberg-Witten theory
• The index of elliptic operators. IV, V
• Novikov's higher signature and families of elliptic operators
• THE OPERATORK-FUNCTOR AND EXTENSIONS OFC*-ALGEBRAS
• Torsion Classes and a Universal Constraint on Donaldson Invariants for Odd Manifolds
• Diffeomorphisms and noncommutative analytic torsion