58 citations · 130 across the 18 of their papers we have counts for
20 papers
Bounding the -local exotic Picard group at
Irina Bobkova, Andrea Lachmann, Ang Li +3
In this paper, we bound the descent filtration of the exotic Picard group , for a prime number p>3 and n=p-1. Our method involves a detailed comparison of the Picard spectral…
The Exotic -Local Picard Group at the Prime
Agnes Beaudry, Irina Bobkova, Paul G. Goerss +3
We calculate the group of exotic elements in the -local Picard group at the prime and find it is a group of order isomorphic to $(\mathbb{Z}/8)^2 \times (\mat…
Picard sheaves, local Brauer groups, and topological modular forms
Benjamin Antieau, Lennart Meier, Vesna Stojanoska
We prove that the Brauer group of TMF is isomorphic to the Brauer group of the derived moduli stack of elliptic curves. Then, we compute the local Brauer group, i.e., the subgroup…
Cohomology of the Morava stabilizer group through the duality resolution at
Agnes Beaudry, Irina Bobkova, Paul G. Goerss +3
We compute the continuous cohomology of the Morava stabilizer group with coefficients in Morava -theory, , at , for , using the Algebr…
Invertible -Local -Modules in -Spectra
Agnes Beaudry, Irina Bobkova, Michael Hill +1
We compute the Picard group of the category of -local module spectra over the ring spectrum , where is a height 2 Morava -theory and is a subgroup of t…
Constructing the determinant sphere using a Tate twist
Tobias Barthel, Agnès Beaudry, Paul G. Goerss +1
Following an idea of Hopkins, we construct a model of the determinant sphere in the category of -local spectra. To do this, we build a spectrum which w…
Gross-Hopkins Duals of Higher Real K-theory Spectra
Tobias Barthel, Agnes Beaudry, Vesna Stojanoska
We determine the Gross-Hopkins duals of certain higher real -theory spectra. More specifically, let be an odd prime, and consider the Morava -theory spectrum of height $n…
Anderson and Gorenstein duality
J. P. C. Greenlees, V. Stojanoska
The paper relates the Gorenstein duality statements studied by the first author to the Anderson duality statements studied by the second author, and explains how to use local cohom…
Motivic Homotopical Galois Extensions
Agnes Beaudry, Kathryn Hess, Magdalena Kedziorek +2
We establish a formal framework for Rognes's homotopical Galois theory and adapt it to the context of motivic spaces and spectra. We discuss examples of Galois extensions between E…
The Galois action and cohomology of a relative homology group of Fermat Curves
Rachel Davis, Rachel Pries, Vesna Stojanoska +1
For an odd prime satisfying Vandiver's conjecture, we give explicit formulae for the action of the absolute Galois group on the homology of the degree …
Picard groups of higher real -theory spectra at height
Drew Heard, Akhil Mathew, Vesna Stojanoska
Using the descent spectral sequence for a Galois extension of ring spectra, we compute the Picard group of the higher real -theory spectra of Hopkins and Miller at height $n=p-1…
On the ring of cooperations for 2-primary connective topological modular forms
Mark Behrens, Kyle Ormsby, Nathaniel Stapleton +1
We analyze the ring tmf_*tmf of cooperations for the connective spectrum of topological modular forms (at the prime 2) through a variety of perspectives: (1) the E_2-term of the Ad…
Galois action on the homology of Fermat curves
Rachel Davis, Rachel Pries, Vesna Stojanoska +1
In his paper titled "Torsion points on Fermat Jacobians, roots of circular units and relative singular homology", Anderson determines the homology of the degree Fermat curve as…
The Picard group of topological modular forms via descent theory
Akhil Mathew, Vesna Stojanoska
This paper starts with an exposition of descent-theoretic techniques in the study of Picard groups of -ring spectra, which naturally lead to the study of Picar…
Fibers of partial totalizations of a pointed cosimplicial space
Akhil Mathew, Vesna Stojanoska
Let be a cosimplicial object in a pointed -category. We show that the fiber of depends only on the poi…
Classification of problematic subgroups of U(n)
Julia E. Bergner, Ruth Joachimi, Kathryn Lesh +2
We classify p-toral subgroups of U(n) that can have non-contractible fixed points under the action of U(n) on the complex of partitions of complex n-space into mutually orthogonal…
K-theory, reality, and duality
Drew Heard, Vesna Stojanoska
We show that the real K-theory spectrum KO is Anderson self-dual using the method previously employed in the second author's calculation of the Anderson dual of Tmf. Indeed the cur…
Fixed points of -toral groups acting on partition complexes
Julia E. Bergner, Ruth Joachimi, Kathryn Lesh +2
We consider the action of -toral subgroups of on the unitary partition complex . We show that if is -toral and has noncontractible fixe…
Duality for Topological Modular Forms
Vesna Stojanoska
It has been observed that certain localizations of the spectrum of topological modular forms are self-dual (Mahowald-Rezk, Gross-Hopkins). We provide an integral explanation of the…
Touching the in Three-Dimensional Rotations
Vesna Stojanoska, Orlin Stoytchev
A simple and self-contained proof is presented of the well-known fact that the fundamental group of SO(3) is , using a relationship between closed paths in SO(3) and braids.