Department of Mathematics
Smooth Manifolds. The category of derived manifolds contains arbitrary
manifolds, even if they are not transverse, while retaining enough
structure so that every compact derived manifold has a fundamental class
in cobordism. This work was
published in Duke Mathematical Journal, May 2010.
PhD dissertation. The above is a reworking of my
PhD dissertation (from UC Berkeley, 2007). It is more linearly ordered, detailed, and abstruse than the
Slides. Here is a
slide talk I gave on the subject in Vancouver, BC.
Some related research:
Dominic Joyce Algebraic Geometry over C-infinity
D. Borisov and J. Noel
Simplicial approach to derived differential manifolds.
Lurie Derived algebraic Geometry V.
This work by David I. Spivak is licensed under a Creative Commons
Attribution-Share Alike 3.0 Unported License.