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The Conley index, gauge theory, and triangulations

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Abstract

This is an expository paper about Seiberg–Witten Floer stable homotopy types.We outline their construction, which is based on the Conley index and finite-dimensional approximation. We then describe several applications, including the disproof of the high-dimensional triangulation conjecture.

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  1. Department of Mathematics, UCLA, 520 Portola Plaza, Los Angeles, CA, 90095, USA

    Ciprian Manolescu

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Manolescu, C. The Conley index, gauge theory, and triangulations. J. Fixed Point Theory Appl. 13, 431–457 (2013). https://doi.org/10.1007/s11784-013-0134-3

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