Calabi-Yau categories and Poincaré duali- ty spaces

نویسنده

  • Peter Jørgensen
چکیده

The singular cochain complex of a topological space is a classical object. It is a Differential Graded algebra which has been studied intensively with a range of methods, not least within rational homotopy theory. More recently, the tools of Auslander-Reiten theory have also been applied to the singular cochain complex. One of the highlights is that by these methods, each Poincaré duality space gives rise to a Calabi-Yau category. This paper is a review of the theory. Mathematics Subject Classification (2000). Primary 16E45, 16G70, 55P62.

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ar X iv : 0 80 1 . 20 52 v 2 [ m at h . R T ] 1 4 A pr 2 00 8 Calabi - Yau categories and Poincaré duali - ty spaces

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تاریخ انتشار 2008