A K-Theory approach to characterize admissible physical manifolds
General Topology
2023-06-27 v2 Algebraic Topology
Abstract
We will classify physically admissible manifold structures by the use of Waldhausen categories. These categories give rise to algebraic K-Theory. Moreover, we will show that a universal K-spectrum is necessary for a physical manifold being admissible. Application to the generalized structure of D-branes are also provided. This might give novel insights in how the manifold structure in String and M-Theory looks like.
Keywords
Cite
@article{arxiv.2305.16776,
title = {A K-Theory approach to characterize admissible physical manifolds},
author = {Patrick Linker and Cenap Ozel and Alexander Pigazzini and Monika Sati and Richard Pincak and Eric Choi},
journal= {arXiv preprint arXiv:2305.16776},
year = {2023}
}