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math.AT2025
Boundary framings for locally conformally symplectic four-manifolds
J Morava
We construct a rational homotopy-theoretic model for a classifying space of locally conformally symplectic structures on four-manifolds, and use it to definition a cobordism catego…
math.AT2024
Some very low-dimensional algebraic topology
J Morava
The Euclidean renormalization bundle considered in QFT by Connes, Kreimer, and Marcolli has been extended, in a remarkable series of papers by S Agarwala, to Riemannian manifolds $…
math.AT2024
Swan-Tate cohomology of meromorphic circle actions
J Morava
We propose a toy model for symmetry-breaking or bubbling, in terms of cobordism of manifolds with circle actions free on a possible boundary. The Swan-Tate cohomology $t_\T E$ of a…