On the cobordisms of Möbius circles

A. G. Gorinov

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On the cobordisms of Möbius circles

A. G. Gorinov

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Abstract

The boundary of a Möbius manifold carries a canonical Möbius structure. This enables one to define the cobordism group of $n$-dimensional (closed) Möbius manifolds. The purpose of this note is to show that the cobordism group of Möbius circles is zero, i.e., every Möbius circle bounds a Möbius surface. We also complete N. Kuiper's classification of projective structures on $S^1$ (we show that there are in fact two series of projective circles with parabolic holonomy, and not one).

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BibTeX RIS

A. G. Gorinov. 2006-05-22. On the cobordisms of Möbius circles. https://arxiv.org/abs/math/0605573

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