Visual appeal of singularities is pervasive in lots of difficulties in topology, differential geometry, and algebraic geometry. This booklet issues the research of singular areas utilizing recommendations from numerous components of geometry and topology and the interactions between them. Expository chapters through recognized specialists disguise intersection homology, L2 cohomology and differential operators, topology of algebraic types, signatures and attribute sessions, combined Hodge thought, and elliptic genera of singular advanced and genuine algebraic types. The ebook concludes with a listing of open difficulties.
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