| Topology, cohomology, Lie algebras, and knot theory have all become valuable items in the physicist's tool chest. |
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| In further papers, published in 1936, he defined cohomology groups for an arbitrary locally compact topological space. |
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| At her instigation a number of people then produced a theory of these groups, the so-called homology and cohomology groups of a space. |
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| Tools for concrete calculations include algebraic K-theory and motivic cohomology. |
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| Irregular singularities of linear differential systems in any dimension and over various base fields,and their algebraic de Rham cohomology. |
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| Two objects that can be deformed into one another will have the same homology and cohomology groups. |
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| There are usually standard methods for computing homology and cohomology groups, and they are completely known for many spaces. |
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| We discuss the definition of Picture Lowering and Picture Raising Operators and their relation with the cohomology. |
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| We will first study equivariant cohomology on some examples. |
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| Our main result expresses certain algebraic invariants of B in terms of the cohomology of simplicial complexes associated with its R-poset. |
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| Deligne used a new theory of cohomology called étale cohomology, drawing on ideas originally developed by Alexandre Grothendieck some 15 years earlier, and applied them to solve the deepest of the Weil conjectures. |
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| He assumes students are familiar with homological algebra, algebraic topology based on different forms, and de Rham cohomology. |
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