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Abstract We discuss the cobordism type of spin manifolds with non-negative sectional curvature. We show that in each dimension 4k ⩾ 12, there are infinitely many cobordism types of simply… Click to show full abstract
Abstract We discuss the cobordism type of spin manifolds with non-negative sectional curvature. We show that in each dimension 4k ⩾ 12, there are infinitely many cobordism types of simply connected and non-negatively curved spin manifolds. Moreover, we raise and analyse a question about possible cobordism obstructions to non-negative curvature.
Keywords:
negative curvature;
elliptic genus;
curvature elliptic;
genus unbounded;
non negative;
curvature
Journal Title: Proceedings of the Edinburgh Mathematical Society
Year Published: 2018
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Journal Title: Proceedings of the Edinburgh Mathematical Society
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!