An application of signature of smooth manifolds

We prove that no disjoint union of any number of copies of even dimensional complex projective space can bound a smooth oriented compact manifold with boundary. We prove this by defining and computing certain algebraic invariants for smooth oriented manifolds. A non-diffeomorphic relationship is est...

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Bibliographic Details
Main Author: Taylor, Jesse H.
Other Authors: Mathematics
Format: Others
Language:en
Published: Virginia Tech 2014
Subjects:
Online Access:http://hdl.handle.net/10919/44008
http://scholar.lib.vt.edu/theses/available/etd-07292009-090530/