TITLE

# A comparative study of two fundamental invariants of exotic \$\${\mathbb R^{4}}\$\$'s

AUTHOR(S)
Bou Khuzam, Mazen
PUB. DATE
December 2011
SOURCE
Journal of Geometry;2011, Vol. 102 Issue 1/2, p19
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
We present a comparative study of two fundamental invariants of exotic \$\${\mathbb R^{4}}\$\$'s. The first invariant e( R) is defined intrinsically using the smooth compact submanifolds of R while the other ?( R) depends of the possibility of embedding R in some spin manifolds. We prove that ? is dominated by e on all exotic \$\${\mathbb R^{4}}\$\$'s.
ACCESSION #
74035826

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