Definitions
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun mathematics A theory associating a system of
quotient groups to eachtopological space . - noun mathematics A system of
quotient groups associated to atopological space .
Etymologies
from Wiktionary, Creative Commons Attribution/Share-Alike License
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Examples
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Section 33.10 explains how positive/negative frequency splitting along with "holomorphic first sheaf cohomology" plays "a direct role in generating deformations of twistor space."
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Section 33.9 is six pages of Penrose trying to explain "sheaf cohomology" whose ideas "… are fairly sophisticated mathematically, but actually very natural."
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This then leads us into some very rich theory of the algebraic topology of the Dirac operator and something called quantum cohomology.
Dark Matter: Still Dark. Julianne 2008
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BRST then becomes essentially Lie algebra cohomology, where you construct the invariant, trivial piece of a representation by cancelling a sequence of non-trivial representations against each other.
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The action of a real semisimple lie group on a complex flag manifold, II: Unitary representations on partially holomorphic cohomology spaces by Joseph Albert Wolf
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On the mixed Hodge structure on the cohomology of the Milnor fibre.
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On the mixed Hodge structure on the cohomology of the Milnor fibre.
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Several mathematical concepts have been named after him including the Tate module, Tate curve, Tate cycle, Hodge-Tate decompositions, Tate cohomology, Serre-Tate parameter, and Lubin-Tate group.
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Several mathematical concepts have been named after him, including the Tate module, Tate curve, Tate cycle, Hodge-Tate decompositions, Tate cohomology, Serre-Tate parameter and
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This gives rise to a slogan "when you have partitions of unity, sheaf cohomology vanishes."
qms commented on the word cohomology
Damn! I’ve been using this to mean the study of salmon.
February 6, 2019