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BGG resolutions via configuration spaces

Michael Falk, Vadim Schechtman, Alexander Varchenko (2014)

Journal de l’École polytechnique — Mathématiques

We study the blow-ups of configuration spaces. These spaces have a structure of what we call an Orlik–Solomon manifold; it allows us to compute the intersection cohomology of certain flat connections with logarithmic singularities using some Aomoto type complexes of logarithmic forms. Using this construction we realize geometrically the ${𝔰𝔩}_{2}$ Bernstein–Gelfand–Gelfand resolution as an Aomoto complex.

Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts.

Fiedler, Bernold, Sandstede, Björn, Scheel, Arnd, Wulff, Claudia (1996)

Documenta Mathematica

Bihomogeneity of solenoids.

Clark, Alex, Fokkink, Robbert (2002)

Algebraic & Geometric Topology

Bordism with codimension-one singularities

S. Buoncristiano, C. De Concini (1977)

Compositio Mathematica

Borel fibrations and G-spaces.

Martin Fuchs (1987)

Manuscripta mathematica

Bounds for the characteristic rank and cup-length of oriented Grassmann manifolds

Tomáš Rusin (2018)

Archivum Mathematicum

We estimate the characteristic rank of the canonical $k$ –plane bundle over the oriented Grassmann manifold ${\tilde{G}}_{n, k}$ . We then use it to compute uniform upper bounds for the $ℤ_{2}$ –cup-length of ${\tilde{G}}_{n, k}$ for $n$ belonging to certain intervals.

Displaying 1 – 9 of 9

BGG resolutions via configuration spaces

Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts.

Bihomogeneity of solenoids.

Bordism with codimension-one singularities

Borel fibrations and G-spaces.

Bounds for the characteristic rank and cup-length of oriented Grassmann manifolds

Braid Orientations and Bundles with Flat Connections.

BSJ does not map correctly into BSF Mod 2.

Bundles, cohomology and truncated symmetric polynomials.

Currently displaying 1 – 9 of 9