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Calculation of the avoiding ideal for $Σ^{1, 1}$

Tamás Terpai (2009)

Banach Center Publications

We calculate the mapping $H * (B O; ℤ ₂) \to H * (K^{1, 0}; ℤ ₂)$ and obtain a generating system of its kernel. As a corollary, bounds on the codimension of fold maps from real projective spaces to Euclidean space are calculated and the rank of a singular bordism group is determined.

Cancellation, elliptic surfaces and the topology of certain four-manifolds.

Ian Hambleton, Matthias Kreck (1993)

Journal für die reine und angewandte Mathematik

Casson's invariant of Seifert homology 3-spheres.

Shinji Fukuhara, Yukio Matsumoto (1990)

Mathematische Annalen

Classification of homotopy Dold manifolds.

Mukerjee, Himadri Kumar (2003)

The New York Journal of Mathematics [electronic only]

Conformally flat manifolds, Kleinian groups and scalar curvature.

S.-T. Yau, R. Schoen (1988)

Inventiones mathematicae

Contributions of rational homotopy theory to global problems in geometry

Karsten Grove, Stephen Halperin (1982)

Publications Mathématiques de l'IHÉS

Controlled connectivity of closed 1-forms.

Schütz, D. (2002)

Algebraic & Geometric Topology

Counterexamples to representing homology classes by real algebraic subvarieties up to homeomorphism

R. Benedetti, M. Dedò (1984)

Compositio Mathematica

Cycles on algebraic models of smooth manifolds

Wojciech Kucharz (2009)

Journal of the European Mathematical Society

Every compact smooth manifold $M$ is diffeomorphic to a nonsingular real algebraic set, called an algebraic model of $M$ . We study modulo 2 homology classes represented by algebraic subsets of $X$ , as $X$ runs through the class of all algebraic models of $M$ . Our main result concerns the case where $M$ is a spin manifold.

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