Non-additivity of the signature
نویسندگان
چکیده
منابع مشابه
Non - Additivity of the Signature
It was recently observed by Novikov that if two compact oriented 4k-manifolds are glued by a diffeomorphism (reversing orientation) of their boundaries, then the signature of their union is the sum of their signatures. The proof is given in [1, 7.1]; the result has been exploited by J~inich [2] to characterise the signature of closed manifolds. In constructing such manifolds, it is often desira...
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A well-known property of the signature of closed oriented 4n-dimensional manifolds is Novikov additivity, which states that if a manifold is split into two manifolds with boundary along an oriented smooth hypersurface, then the signature of the original manifold equals the sum of the signatures of the resulting manifolds with boundary. Wall showed that this property is not true of signatures on...
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چکیده ندارد.
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Jianxin Chen 2, ∗ and Andreas Winter 4, † Department of Mathematics & Statistics, University of Guelph, Guelph, Ontario, Canada Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario, Canada Department of Mathematics, University of Bristol, Bristol BS8 1TW, U.K. Centre for Quantum Technologies, National University of Singapore, 2 Science Drive 3, Singapore 117542, Singapore ...
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ژورنال
عنوان ژورنال: Inventiones Mathematicae
سال: 1969
ISSN: 0020-9910,1432-1297
DOI: 10.1007/bf01404310