superalgebra and (synthetic ) supergeometry
model category, model $\infty$-category
Definitions
Morphisms
Universal constructions
Refinements
Producing new model structures
Presentation of $(\infty,1)$-categories
Model structures
for $\infty$-groupoids
on chain complexes/model structure on cosimplicial abelian groups
related by the Dold-Kan correspondence
for equivariant $\infty$-groupoids
for rational $\infty$-groupoids
for rational equivariant $\infty$-groupoids
for $n$-groupoids
for $\infty$-groups
for $\infty$-algebras
general $\infty$-algebras
specific $\infty$-algebras
for stable/spectrum objects
for $(\infty,1)$-categories
for stable $(\infty,1)$-categories
for $(\infty,1)$-operads
for $(n,r)$-categories
for $(\infty,1)$-sheaves / $\infty$-stacks
The category of differential graded-commutative superalgebras over a field of characteristic zero carries a projective model category structure whose weak equivalences are the underlying quasi-isomorphisms and whose fibrations are the degreewise surjections (all either in unbounded degree, in non-negative degree or in non-positive degree).
This is the transferred model structure of the projective model structure on chain complexes of super vector spaces, transferred along the forgetful functor to underlying chain complexes.
The model structure is hence the direct generalization of the projective model structure on differential graded-commutative algebras, to which it reduces on the objects concentrated in even super-degree.
A unified treatmeant generalizing to arbitary super Fermat theories is in
Last revised on August 12, 2018 at 18:14:29. See the history of this page for a list of all contributions to it.