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arxiv: math/0608504 · v1 · submitted 2006-08-20 · 🧮 math.DG · math.GT

Monopole classes and Perelman's invariant of four-manifolds

classification 🧮 math.DG math.GT
keywords invariantperelmanfour-manifoldssmoothcalculateclassescompactcomplex
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We calculate Perelman's invariant for compact complex surfaces and a few other smooth four-manifolds. We also prove some results concerning the dependence of Perelman's invariant on the smooth structure.

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