higher geometry / derived geometry
Ingredients
Concepts
geometric little (∞,1)-toposes
geometric big (∞,1)-toposes
Constructions
Examples
derived smooth geometry
Theorems
geometry, complex numbers, complex line
$dim = 1$: Riemann surface, super Riemann surface
The higher geometry version of complex analytic geometry, for instance (petit) with geometry (for structured ((∞,1)-toposes) being the site of Stein manifolds or (gros) complex analytic ∞-groupoids.
Jacob Lurie, section 4.4. of Structured Spaces
Jacob Lurie, sections 11 and 12 of Closed Immersions
Finnur Larusson, Excision for simplicial sheaves on the Stein site and Gromov’s Oka principle (arXiv:math/0101103)
Michael Hopkins, Gereon Quick, Hodge filtered complex bordism (arXiv:1212.2173)
Differential cohomology is Cohesive homotopy theory
talk notes on how cohesion is a faithful axiomatization of generalized differential cohomology including differential moduli stack constructions such as that of intermediate Jacobians in higher complex analytic geometry.
Mauro Porta, Tony Yue Yu?, Higher analytic stacks and GAGA theorems, arXiv:1412.5166.
Last revised on August 8, 2020 at 17:48:16. See the history of this page for a list of all contributions to it.