4 papers
Periodicity and finite complexity in higher real -theories
Zhipeng Duan, Michael A. Hill, Guchuan Li +4
In this paper, we establish periodicity results for higher real -theories at all heights and for all finite subgroups of the Morava stabilizer group at the prime 2. We further a…
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 Adams differentials on the classes
Robert Burklund, Zhouli Xu
In filtration 1 of the Adams spectral sequence, using secondary cohomology operations, Adams computed the differentials on the classes , resolving the Hopf invariant one probl…