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

chapter 1|42 pages

G eometry o f Si ngul a ri ti es

chapter 3|62 pages

Pseudodifferential Operators

chapter 4|25 pages

Localization (Surgery) in Elliptic Theory

chapter 5|50 pages

I ndex Theo ry

chapter 6|26 pages

Elliptic Edge Problems

chapter 8|11 pages

Rel ative Elliptic Theory

chapter 11|18 pages

Lefschetz Formulas

chapter |17 pages

Appendix A Spectral Flow

chapter |12 pages

Appendix B Eta Invariants

chapter |7 pages

Bi bliographi c Remarks

chapter |12 pages

Bi bliography