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math.AT2026
Local Inertness of Poincaré duality complexes
Samik Basu, Sebastian Chenery, Ruizhi Huang +2
We prove that, under certain homological conditions, the attaching map of the top cell of a Poincaré duality complex is inert when localised away from a finite set of primes. This…
math.AT2026
Gyration Stability for Products
Sebastian Chenery
A gyration is an operation on Poincaré Duality complexes that arises from a certain surgery on the product of a given complex and a sphere, parametrised by a chosen twisting. O…
math.AT2026
Pullbacks of Sphere Fibrations over Connected Sums
Sebastian Chenery, Stephen Theriault
We prove conditions under which the total space of the pullback of a sphere fibration over a connected sum is homotopy equivalent to a connected sum with a gyration. Existing resul…