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Intersecting 4k-manifolds

Patrick Orson Feb 2013This board was created in the office of University of Edinburgh PhD topologists Carmen Rovi and Chris Palmer during a discussion with Patrick Orson about Wall’s theorem on the non-additivity of signatures. That is, what happens to the signatures when you glue together three or more 4k-manifolds in such a way that the three boundaries intersect in a (4k-2)-manifold? The answer to this question, and the pictures in the bottom right of the board, help to explain in a geometric way what is going on with an algebraic construction to do with L-theory in the top right of the board.

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