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The Smith Fiber Sequence and Invertible Field Theories
Arun Debray, Sanath K. Devalapurkar, Cameron Krulewski +3
Smith homomorphisms are maps between bordism groups that change both the dimension and the tangential structure. We give a completely general account of Smith homomorphisms, unifyi…
THH(Z) and the image of J
Sanath K. Devalapurkar, Arpon Raksit
Let be an odd prime number and the -complete connective image of J spectrum. We establish an equivalence of cyclotomic -rings $\mathrm{THH}…
Examples of disk algebras
Sanath Devalapurkar, Jeremy Hahn, Tyler Lawson +2
We produce refinements of the known multiplicative structures on the Brown--Peterson spectrum , its truncated variants , Ravenel's spectra , and even…
Lifting to truncated Brown-Peterson spectra and Hodge-de Rham degeneration in characteristic
Sanath K. Devalapurkar
The goal of this note is to prove that Hodge-de Rham degeneration holds for smooth and proper -schemes with as soon as its category of quasicoherent…
ku-theoretic spectral decompositions for spheres and projective spaces
Sanath K. Devalapurkar
Ben-Zvi--Sakellaridis--Venkatesh described a conjectural extension of the geometric Satake equivalence to spherical varieties, whose spectral decomposition is described by Hamilton…