Anti-self-dual orbifolds with cyclic quotient singularities

DOI10.4171/JEMS/572zbMath1367.58010arXiv1205.4059MaRDI QIDQ894194

Michael T. Lock, Jeff A. Viaclovsky

Publication date: 27 November 2015

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.4059

zbMATH Keywords

orbifoldsindex theoryanti-self-dual metrics

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Hodge theory in global analysis (58A14) Topology and geometry of orbifolds (57R18)

Related Items (4)

Deformation of LeBrun's ALE metrics with negative mass ⋮ Einstein metrics and Yamabe invariants of weighted projective spaces ⋮ An index theorem for anti-self-dual orbifold-cone metrics ⋮ EXISTENCE AND COMPACTNESS THEORY FOR ALE SCALAR-FLAT KÄHLER SURFACES

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Compact anti-self-dual orbifolds with torus actions
• Obstruction-flat asymptotically locally Euclidean metrics
• A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order
• On optimal 4-dimensional metrics
• Conformal deformation of a Riemannian metric to constant scalar curvature
• On the value of Dedekind sums and eta-invariants for 3-dimensional lens spaces
• Counter-examples to the generalized positive action conjecture
• A Torelli-type theorem for gravitational instantons
• Singularities and topology of hypersurfaces
• The deformation theory of anti-self-dual conformal structures
• Self-dual solutions to Euclidean gravity
• Moduli of half conformally flat structures
• Classification of degenerations of curves of genus three via Matsumoto-Montesinos' theorem.
• Einstein metrics and complex singularities
• Explicit construction of self-dual 4-manifolds
• Deformation of LeBrun's ALE metrics with negative mass
• Equivariant Pontrjagin classes and applications to orbit spaces. Applications of the G-signature theorem to transformation groups, symmetric products and number theory
• Moduli spaces of critical Riemannian metrics in dimension four
• Generalization of the reciprocity formula for Dedekind sums
• Bochner-Kähler metrics
• On conformally Kähler, Einstein manifolds
• ISOMETRIES OF ELLIPTIC 3-MANIFOLDS
• Asymptotic curvature decay and removal of singularities of Bach-flat metrics
• The index of elliptic operators over V-manifolds
• Polygons and gravitons
• The WeitzenbÕck formula for the Bach operator
• An Index Theorem on Anti-Self-Dual Orbifolds

This page was built for publication: Anti-self-dual orbifolds with cyclic quotient singularities