On the characterization of rational homotopy types and Chern classes of closed almost complex manifolds

We give an exposition of Sullivan’s theorem on realizing rational homotopy types by closed smooth manifolds, including a discussion of the necessary rational homotopy and surgery theory, adapted to the realization problem for almost complex manifolds: namely, we give a characterization of the possib...

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Bibliographic Details
Main Author: Milivojević Aleksandar
Format: Article
Language:English
Published: De Gruyter 2022-05-01
Series:Complex Manifolds
Subjects:
Online Access:https://doi.org/10.1515/coma-2021-0133