On the space of metrics with invertible Dirac operator
نویسندگان
چکیده
منابع مشابه
On the Space of Metrics with Invertible Dirac Operator
On a compact spin manifold we study the space of Riemannian metrics for which the Dirac operator is invertible. The first main result is a surgery theorem stating that such a metric can be extended over the trace of a surgery of codimension at least three. We then prove that if non-empty the space of metrics with invertible Dirac operators is disconnected in dimensions n ≡ 0, 1, 3, 7 mod 8, n ≥...
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ژورنال
عنوان ژورنال: Commentarii Mathematici Helvetici
سال: 2008
ISSN: 0010-2571
DOI: 10.4171/cmh/132