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-Homotopy Types and Applications to Topology and Algebraic Geometry
Runjie Hu, Guozhen Wang
We develop a -homotopy theory for -complete spaces. To a -complete space , we associate a commutative differential graded algebra over by rect…
On the Last Kervaire Invariant Problem
Weinan Lin, Guozhen Wang, Zhouli Xu
We prove that the element is a permanent cycle in the Adams spectral sequence. As a result, we establish the existence of smooth framed manifolds with Kervaire invariant on…
Machine Proofs for Adams Differentials and Extension Problems among CW Spectra
Weinan Lin, Guozhen Wang, Zhouli Xu
In this document, we describe the process of obtaining numerous Adams differentials and extensions using computational methods, as well as how to interpret the dataset uploaded to…
The special fiber of the motivic deformation of the stable homotopy category is algebraic
Bogdan Gheorghe, Guozhen Wang, Zhouli Xu
For each prime , we define a -structure on the category of harmonic -motivic left module spectra over $\widehat…