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Holomorphic Poisson Cohomology
Published 2015-07-01“…Therefore, the cohomology space naturally appears as the limit of a spectral sequence of a double complex. …”
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Quilted Floer cohomology
Published 2012“…We generalize Lagrangian Floer cohomology to sequences of Lagrangian correspondences. …”
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The variational Poisson cohomology
Published 2015“…In the first part of the paper we explain how to introduce various cohomology complexes, including Lie superalgebra and Poisson cohomology complexes, and basic and reduced Lie conformal algebra and Poisson vertex algebra cohomology complexes, by making use of the corresponding universal Lie superalgebra or Lie conformal superalgebra. …”
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Local cohomology and stratification
Published 2019“…We outline an algorithm to recover the canonical (or, coarsest) stratification of a given finite-dimensional regular CW complex into cohomology manifolds, each of which is a union of cells. …”
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On the cohomology of hyperkahler quotients
Published 2009“…This paper gives a partial desingularization construction for hyperkähler quotients and a criterion for the surjectivity of an analogue of the Kirwan map to the cohomology of hyperkähler quotients. This criterion is applied to some linear actions on hyperkähler vector spaces. © Birkḧuser Boston (2009).…”
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Hodge filtration on local cohomology, Du Bois complex and local cohomological dimension
Published 2022-01-01“…We study the Hodge filtration on the local cohomology sheaves of a smooth complex algebraic variety along a closed subscheme Z in terms of log resolutions and derive applications regarding the local cohomological dimension, the Du Bois complex, local vanishing and reflexive differentials associated to Z.…”
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TOPOLOGY ON COHOMOLOGY OF LOCAL FIELDS
Published 2015-08-01“…In this case, the proofs often exploit topologies carried by the cohomology groups $H^{n}(k,G)$ for commutative finite type $k$-group schemes $G$. …”
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Anomaly cancellation by generalised cohomology
Published 2024-03-01“…The tool of choice in this context is the universal coefficient theorem linking cohomology theories with coefficients that reveal respectively hide certain topological features. …”
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The cohomology of Torelli groups is algebraic
Published 2020-01-01“…Combined with previous work, this determines the rational cohomology of the Torelli group in a stable range. We further prove that the classifying space of the Torelli group is nilpotent.…”
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Torsion in cohomology and dimensional reduction
Published 2023-09-01“…Abstract Conventional wisdom dictates that ℤ N factors in the integral cohomology group H p (X n , ℤ) of a compact manifold X n cannot be computed via smooth p-forms. …”
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