Journal
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 352, Issue 12, Pages 5667-5688Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9947-00-02676-3
Keywords
Cobordism theory; manifolds with corners; Lie groups; Adams-Novikov spectral sequence; elliptic cohomology
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This work sets up a cobordism theory for manifolds with corners and gives an identification with the homotopy of a certain limit of Thom spectra. It thereby creates a geometrical interpretation of Adams-Novikov resolutions and lays the foundation for investigating the chromatic status of the elements so realized. As an application, Lie groups together with their left invariant framings are calculated by regarding them as corners of manifolds with interesting Chern numbers. The work also shows how elliptic cohomology can provide useful invariants for manifolds of codimension 2.
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