Visual appeal of singularities is pervasive in lots of difficulties in topology, differential geometry, and algebraic geometry. This ebook issues the research of singular areas utilizing thoughts from quite a few parts of geometry and topology and the interactions between them. Expository chapters through famous specialists disguise intersection homology, L2 cohomology and differential operators, topology of algebraic kinds, signatures and attribute sessions, combined Hodge idea, and elliptic genera of singular complicated and genuine algebraic forms. The publication concludes with a listing of open difficulties.
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