4 papers · 1 filter
AKSZ Construction for Shifted Contact Structures
Efe İzbudak, Kadri İlker Berktav
This paper establishes the AKSZ theorem for shifted contact structures and its applications. In brief, to resolve certain obstructions, we first define the quotient mapping stack a…
Equivariant Contact Darboux Quotients
Efe İzbudak
We prove an equivariant Darboux theorem for -shifted contact derived Artin stacks. Such a stack admits a smooth atlas by contact Darboux charts: the derived discriminant locus…
A Derived Legendrian Category for Shifted Contact Stacks
Efe İzbudak, Kadri İlker Berktav
We construct the derived Legendrian category for an -shifted contact derived Artin stack and the -category of Legendrian corresponde…
Equivariant Quotients of Derived Symplectic Spaces and Legendrian Intersection Theorem
Efe İzbudak, Kadri İlker Berktav
The classical transversality lemma of contact geometry constructs a contact structure on a hypersurface transverse to a Liouville vector field using point-set topology and local fl…