Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cyclic Cohomology of Crossed Coproduct Coalgebras   We extend our work in~\cite{rm01} to the case of Hopf comodule coalgebras. We
introduce the cocylindrical module $C \natural^{} \mathcal{H}$, where
$\mathcal{H}$ is a Hopf algebra with bijective antipode and $C$ is a Hopf
comodule coalgebra over $\mathcal{H}$. We show that there exists an isomorphism
between the cocyclic module of the crossed coproduct coalgebra $C >
\blacktriangleleft \mathcal{H} $ and $\Delta(C \natural^{}\mathcal{H}) $, the
cocyclic module related to the diagonal of $C \natural^{} \mathcal{H}$. We
approximate $HC^{\bullet}(C > \blacktriangleleft \mathcal{H}) $ by a spectral
sequence and we give an interpretation for $ \mathsf{E}^0, \mathsf{E}^1$ and
$\mathsf{E}^2 $ terms of this spectral sequence.

3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th