Line Bundle Twists for Unitary Bordism are Ghosts
Thorsten Hertl

TL;DR
This paper demonstrates that a specific canonical twist in complex cobordism theory cannot be extended to unitary bordism, revealing fundamental differences in the structure of these theories.
Contribution
It proves that the canonical twist for complex cobordism does not extend to unitary bordism by analyzing the homotopy properties of associated maps.
Findings
The map from $K(bZ,3)$ to $BGL_1(MU)$ loops to a null homotopic map.
The canonical twist $Z$ does not extend to a twist for unitary bordism.
Homotopy analysis shows the non-extendability of the twist.
Abstract
We prove that the canonical twist does not extend to a twist for unitary bordism by showing that every continuous map loops to a null homotopic map.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Black Holes and Theoretical Physics · Algebraic structures and combinatorial models
