2 problems

Homotopy invariance of $L^2$ torsion
Let $M$ and $N$ be compact odd-dimensional manifolds, and let $f:M\to N$ be a homotopy equivalence. Let $\widehat M$ and $\widehat N$ be their normal $\Gamma$ -covering spaces, and…
openFrom paperscovering-spaces homotopy-invariance l2-torsion
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6
Oriented-homotopy invariance conjecture for higher string topology operations
Oriented-homotopy invariance conjecture. The operations of the main theorem and the conjectured relative string topology operations are oriented-homotopy invariant.
openFrom papershomotopy-invariance string-topology
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4

Homotopy invariance of L2L^2L2 torsion