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Line integrals of one-forms on the Sierpinski gasket

Isola, T (tbc)
Tuesday 27 July 2010, 14:45-15:30

Seminar Room 1, Newton Institute


We give a definition of one-forms on the gasket and of their line integrals, and show that these are compatible with the notion of energy introduced by Kigami. We then introduce a suitable covering of the gasket (which is a projective limit of a sequence of natural finite coverings) and prove that n-exact forms have a primitive which lives on this covering.


[pdf ]


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