I. Bobkova

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20012026

most citedMagnetoelectrics in Disordered Topological Insulator Josephson Junctions

93 citations · 1.5k across the 101 of their papers we have counts for

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11 papers · 1 filter

math.AT2024

New infinite families in the stable homotopy groups of spheres

Prasit Bhattacharya, Irina Bobkova, J. D. Quigley

We identify seven new $192$ -periodic infinite families of elements in the $2$ -primary stable homotopy groups of spheres. Although their Hurewicz image is trivial for topological mo…

math.AT2022★ 1 cited

The Exotic $K (2)$ -Local Picard Group at the Prime $2$

Agnes Beaudry, Irina Bobkova, Paul G. Goerss +3

We calculate the group $κ_{2}$ of exotic elements in the $K (2)$ -local Picard group at the prime $2$ and find it is a group of order $2^{9}$ isomorphic to $(\mathbb{Z}/8)^2 \times (\mat…

math.AT2022

Cohomology of the Morava stabilizer group through the duality resolution at $n = p = 2$

Agnes Beaudry, Irina Bobkova, Paul G. Goerss +3

We compute the continuous cohomology of the Morava stabilizer group with coefficients in Morava $E$ -theory, $H^{*} (G_{2}, E_{t})$ , at $p = 2$ , for $0 \leq t < 12$ , using the Algebr…

math.AT2021★ 3 cited

The topological modular forms of $R P^{2}$ and $R P^{2} \land C P^{2}$

Agnès Beaudry, Irina Bobkova, Viet-Cuong Pham +1

In this paper, we study the elliptic spectral sequence computing $t m f_{*} (R P^{2})$ and $t m f_{*} (R P^{2} \land C P^{2})$ . Specifically, we compute all differenti…

math.AT2019★ 10 cited

Invertible $K (2)$ -Local $E$ -Modules in $C_{4}$ -Spectra

Agnes Beaudry, Irina Bobkova, Michael Hill +1

We compute the Picard group of the category of $K (2)$ -local module spectra over the ring spectrum $E^{h C_{4}}$ , where $E$ is a height 2 Morava $E$ -theory and $C_{4}$ is a subgroup of t…

math.AT2018★ 3 cited

The $P_{2}^{1}$ Margolis homology of connective topological modular forms

Prasit Bhattacharya, Irina Bobkova, Brian Thomas

The element $P_{2}^{1}$ of the mod 2 Steenrod algebra has the property $(P_{2}^{1})^{2} = 0$ . This property allows one to view $P_{2}^{1}$ as a differential on $H_{*} (X, F_{2})$ for any spect…

New infinite families in the stable homotopy groups of spheres

The Exotic K(2)-Local Picard Group at the Prime 2

Cohomology of the Morava stabilizer group through the duality resolution at n=p=2

The topological modular forms of RP2 and RP2∧CP2

Invertible K(2)-Local E-Modules in C4​-Spectra

The P21​ Margolis homology of connective topological modular forms

The Exotic $K (2)$ -Local Picard Group at the Prime $2$

Cohomology of the Morava stabilizer group through the duality resolution at $n = p = 2$

The topological modular forms of $R P^{2}$ and $R P^{2} \land C P^{2}$

Invertible $K (2)$ -Local $E$ -Modules in $C_{4}$ -Spectra

The $P_{2}^{1}$ Margolis homology of connective topological modular forms