Rational cohomology of the free loop space of a simply connected 4-manifoldстатья
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Дата последнего поиска статьи во внешних источниках: 24 декабря 2014 г.
Аннотация:
The purpose of this paper is to calculate the rational cohomology of the free loop space for a simply connected closed 4-manifold X. We use minimal models, so the starting point is the cohomology algebra which depends only on the second Betti number b (2) and the signature of X itself. Calculations of for b (2) a parts per thousand currency sign 2 are known. We study the case b (2) > 2. We obtain an explicit formula for Poincar, series of the space , with the second Betti number b (2) as a parameter.