Abstract
In this work 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.
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The work was partially funded by Slovak Grant Agency for Science VEGA under the grant number VEGA 2/0076/23.
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Linker, P., Ozel, C., Pigazzini, A. et al. A K-Theory Approach to Characterize Admissible Physical Manifolds. Int J Theor Phys 63, 68 (2024). https://doi.org/10.1007/s10773-024-05608-9
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DOI: https://doi.org/10.1007/s10773-024-05608-9