Proves π₁(Isom(M_p,g)) infinite for |p|≫0 in certain contact (4n+1)-manifolds via Wodzicki-Chern-Simons forms on LM_p, plus first high-dim nonvanishing Wodzicki-Pontryagin forms.
Some exotic nontrivial elements of the rational homotopy groups of Diff(S^ 4 )
3 Pith papers cite this work. Polarity classification is still indexing.
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Survey of gauge theory for families with focus on applications to diffeomorphism groups of 4-manifolds developed 2021-2025.
A survey of gauge theory for families and its applications to comparing diffeomorphism and homeomorphism groups of 4-manifolds up to 2021.
citing papers explorer
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The Geometry of Loop Spaces III: Isometry Groups of Contact Manifolds
Proves π₁(Isom(M_p,g)) infinite for |p|≫0 in certain contact (4n+1)-manifolds via Wodzicki-Chern-Simons forms on LM_p, plus first high-dim nonvanishing Wodzicki-Pontryagin forms.
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Diffeomorphism groups and gauge theory for families
Survey of gauge theory for families with focus on applications to diffeomorphism groups of 4-manifolds developed 2021-2025.
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Gauge theory for families
A survey of gauge theory for families and its applications to comparing diffeomorphism and homeomorphism groups of 4-manifolds up to 2021.