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The analysis and topology of elliptic operators on manifolds with singularities are much more complicated than in the smooth case and require completely new mathematical notions and theories.
While there has recently been much progress in the field, many of these results have remained scattered in journals and preprints.
Starting from an ele
Analysis on Manifolds with Singularities
Elliptic Equations: An Introductory Course
Morse Theory Of Gradient Flows, Concavity And Complexity On Manifolds With Boundary
Handbook of Geometry and Topology of Singularities I
Handbook of Geometry and Topology of Singularities II
Differential Geometry of Singular Spaces and Reduction of Symmetry
Differential Geometry From A Singularity Theory Viewpoint
Singularities and Low Dimensional Topology
Singular Integral Operators, Quantitative Flatness, and Boundary Problems
Handbook of Geometry and Topology of Singularities III
Handbook of Geometry and Topology of Singularities VI: Foliations
Recent Progress in Mathematics