Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric Objects and Cohomology Operations   Cohomology operations (including the cohomology ring) of a geometric object
are finer algebraic invariants than the homology of it.
  In the literature, there exist various algorithms for computing the homology
groups of simplicial complexes but concerning the algorithmic treatment of
cohomology operations, very little is known. In this paper, we establish a
version of the incremental algorithm for computing homology which saves
algebraic information, allowing us the computation of the cup product and the
effective evaluation of the primary and secondary cohomology operations on the
cohomology of a finite simplicial complex. We study the computational
complexity of these processes and a program in Mathematica for cohomology
computations is presented.

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The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph