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arxiv: math/0611036 · v2 · submitted 2006-11-01 · 🧮 math.AT

Poincare Complex Diagonals

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keywords poincaredimensiongroupobstructioncompletecomplexdependsdescribe
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Let M be a Poincare duality space of dimension at least four. In this paper we describe a complete obstruction to realizing the diagonal map M -> M x M by a Poincare embedding. The obstruction group depends only on the fundamental group and the parity of the dimension of M.

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