# Integration over homogeneous spaces for classical Lie groups using iterated residues at infinity

Open Mathematics (2014)

- Volume: 12, Issue: 4, page 574-583
- ISSN: 2391-5455

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topMagdalena Zielenkiewicz. "Integration over homogeneous spaces for classical Lie groups using iterated residues at infinity." Open Mathematics 12.4 (2014): 574-583. <http://eudml.org/doc/269799>.

@article{MagdalenaZielenkiewicz2014,

abstract = {Using the Berline-Vergne integration formula for equivariant cohomology for torus actions, we prove that integrals over Grassmannians (classical, Lagrangian or orthogonal ones) of characteristic classes of the tautological bundle can be expressed as iterated residues at infinity of some holomorphic functions of several variables. The results obtained for these cases can be expressed as special cases of one formula involving the Weyl group action on the characters of the natural representation of the torus.},

author = {Magdalena Zielenkiewicz},

journal = {Open Mathematics},

keywords = {Grassmannian; Equivariant cohomology theory; Localization; Berline-Vergne formula; equivariant cohomology; integration; iterated residue},

language = {eng},

number = {4},

pages = {574-583},

title = {Integration over homogeneous spaces for classical Lie groups using iterated residues at infinity},

url = {http://eudml.org/doc/269799},

volume = {12},

year = {2014},

}

TY - JOUR

AU - Magdalena Zielenkiewicz

TI - Integration over homogeneous spaces for classical Lie groups using iterated residues at infinity

JO - Open Mathematics

PY - 2014

VL - 12

IS - 4

SP - 574

EP - 583

AB - Using the Berline-Vergne integration formula for equivariant cohomology for torus actions, we prove that integrals over Grassmannians (classical, Lagrangian or orthogonal ones) of characteristic classes of the tautological bundle can be expressed as iterated residues at infinity of some holomorphic functions of several variables. The results obtained for these cases can be expressed as special cases of one formula involving the Weyl group action on the characters of the natural representation of the torus.

LA - eng

KW - Grassmannian; Equivariant cohomology theory; Localization; Berline-Vergne formula; equivariant cohomology; integration; iterated residue

UR - http://eudml.org/doc/269799

ER -

## References

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