Deformation Lie groupoids built from normal bundles enable natural pushforward maps and functoriality in any suitable (co)homology theory for Lie groupoids, including a new case for equivariant twisted orbifold K-theory.
On the normal functor in the category of smooth vector bundles
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
This article is dedicated to the study of the normal functor in the category of smooth real vector bundles. Particularly, we focus on a symmetry phenomena which occurs after iterating two times the normal functor on a commutative square of smooth immersions. To do so, a theory of pullback and quotient is developed for double vector bundles but also for some classes of morphisms. These two operations turn out to be the key ingredients in order to study the naturality of the normal functor. The expected symmetry is then obtained thanks to the universal behavior and the mutual compatibility of these operations.
fields
math.KT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Gysin maps and wrong way functoriality via geometric deformation groupoids
Deformation Lie groupoids built from normal bundles enable natural pushforward maps and functoriality in any suitable (co)homology theory for Lie groupoids, including a new case for equivariant twisted orbifold K-theory.