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Closed manifolds coming from Artinian complete intersections
Author(s):
Stefan
Papadima;
Laurentiu
Paunescu
Journal:
Trans. Amer. Math. Soc.
359
(2007),
2777-2786.
MSC (2000):
Primary 57R65, 13C40;
Secondary 11E81, 58K20
Posted:
December 20, 2006
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Abstract:
We reformulate the integrality property of the Poincaré inner product in the middle dimension, for an arbitrary Poincaré  -algebra, in classical terms (discriminant and local invariants). When the algebra is  -connected, we show that this property is the only obstruction to realizing it by a smooth closed manifold, in dimension  . We analyse the homogeneous artinian complete intersections over  realized by smooth closed manifolds of dimension  , and their signatures.
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Additional Information:
Stefan
Papadima
Affiliation:
Institute of Mathematics ``Simion Stoilow", P.O. Box 1-764, RO-014700 Bucharest, Romania
Email:
Stefan.Papadima@imar.ro
Laurentiu
Paunescu
Affiliation:
School of Mathematics and Statistics, University of Sydney, Sydney, New South Wales 2006, Australia
Email:
laurent@maths.usyd.edu.au
DOI:
10.1090/S0002-9947-06-04077-3
PII:
S 0002-9947(06)04077-3
Keywords:
$\mathbb{Q}$-surgery,
artinian complete intersection,
quadratic form,
finite map germ
Received by editor(s):
July 26, 2004
Received by editor(s) in revised form:
April 12, 2005
Posted:
December 20, 2006
Additional Notes:
The authors were partially supported by grant U4249 Sesqui R&D/2003 of the University of Sydney
Copyright of article:
Copyright
2006,
American Mathematical Society
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