Cannibalistic Classes of String Bundles
Gerd Laures, Martin Olbermann
TL;DR
This paper introduces cannibalistic classes for string bundles valued in TMF with level structures, enabling the computation of Morava E-homology for maps from MString to TMF with level structures.
Contribution
It defines cannibalistic classes for string bundles in TMF with level structures, facilitating new homology computations.
Findings
Computed Morava E-homology of maps from MString to TMF with level structures.
Established a framework for cannibalistic classes in the context of string bundles.
Provided tools for future calculations in string topology and TMF-related theories.
Abstract
We introduce cannibalistic classes for string bundles with values in with level structures. This allows us to compute the Morava -homology of any map from the bordism spectrum to with level structures.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Black Holes and Theoretical Physics · Geometry and complex manifolds