A twisted homology class is realised by a submanifold iff its Poincaré dual is pulled back from the twisted Thom class of M^tw O(n) via a map over BO(1); the first non-realisable examples in non-orientable manifolds are given.
Duality and transfer for parametrized spectra
1 Pith paper cite this work, alongside 31 external citations. Polarity classification is still indexing.
1
Pith paper citing it
31
external citations · OpenAlex
fields
math.AT 1years
2026 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
On Realisability of Twisted Homology
A twisted homology class is realised by a submanifold iff its Poincaré dual is pulled back from the twisted Thom class of M^tw O(n) via a map over BO(1); the first non-realisable examples in non-orientable manifolds are given.