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math.AT2023★ 1 cited
-theoretic counterexamples to Ravenel's telescope conjecture
Robert Burklund, Jeremy Hahn, Ishan Levy +1
At each prime and height , we prove that the telescopic and chromatic localizations of spectra differ. Specifically, for acting by Adams operations on $…
math.AT2023
Quivers and the Adams spectral sequence
Robert Burklund, Piotr Pstrągowski
In this paper, we describe a novel way of identifying Adams spectral sequence -terms in terms of homological algebra of quiver representations. Our method applies much more br…
math.AT2023
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…