Cobordism theory, a cornerstone of geometric topology, analyses the equivalence classes of manifolds by utilising the concept of cobordism – whereby two manifolds are considered equivalent if ...

The work by Douçot, Kovrizhin, and Moessner provides a detailed microscopic theory that goes beyond such topological censorship. It not only identifies an unexpected phenomenon—the meandering ...

In particular, we will study manifolds, their diffeomorphisms and embeddings, and positive scalar curvature metrics on them. Via surgery theory and index theory many of the resulting questions are ...

“Our work has been to develop novel idealized objects from string theory that can look like black holes but fundamentally are not,” said study co-author Ibrahima Bah, a physicist at Johns ...

M. H. A. Newman, The Engulfing Theorem for Topological Manifolds, Annals of Mathematics, Vol. 84, No. 3 (Nov., 1966), pp. 555-571 Free online reading for over 10 million articles Save and organize ...

In particular, we will study manifolds, their diffeomorphisms and embeddings, and positive scalar curvature metrics on them. Via surgery theory and index theory many of the resulting questions are ...

Abstract. In this paper we classify nonorientable topological closed 4-manifolds with fundamental group Z/2 up to homeomorphism. Our results give a complete list of such manifolds, and show how they ...