Rational smoothness, cellular decompositions and GKM theory

Richard Gonzales

doi:10.2140/gt.2014.18.291

Rational smoothness, cellular decompositions and GKM theory

Richard Gonzales

Sabancı Üniversitesi

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

12 Citas (Scopus)

Resumen

We introduce the notion of ℚ-filtrable varieties: projective varieties with a torus action and a finite number of fixed points, such that the cells of the associated Białynicki-Birula decomposition are all rationally smooth. Our main results develop GKM theory in this setting. We also supply a method for building nice combinatorial bases on the equivariant cohomology of any ℚ-filtrable GKM variety. Applications to the theory of group embeddings are provided.

Idioma original	Inglés
Páginas (desde-hasta)	291-326
Número de páginas	36
Publicación	Geometry and Topology
Volumen	18
N.º	1
DOI	https://doi.org/10.2140/gt.2014.18.291
Estado	Publicada - 29 ene. 2014
Publicado de forma externa	Sí

Acceder al documento

10.2140/gt.2014.18.291

Otros archivos y enlaces

Enlace a la publicación en Scopus

Citar esto

@article{c82609ffeaf746f18a4cb0856b7a8e83,

title = "Rational smoothness, cellular decompositions and GKM theory",

abstract = "We introduce the notion of ℚ-filtrable varieties: projective varieties with a torus action and a finite number of fixed points, such that the cells of the associated Bia{\l}ynicki-Birula decomposition are all rationally smooth. Our main results develop GKM theory in this setting. We also supply a method for building nice combinatorial bases on the equivariant cohomology of any ℚ-filtrable GKM variety. Applications to the theory of group embeddings are provided.",

keywords = "Algebraic monoids, Algebraic torus actions, Equivariant cohomology, GKM theory, Group embeddings, Rational smoothness",

author = "Richard Gonzales",

year = "2014",

month = jan,

day = "29",

doi = "10.2140/gt.2014.18.291",

language = "English",

volume = "18",

pages = "291--326",

journal = "Geometry and Topology",

issn = "1465-3060",

number = "1",

}

TY - JOUR

T1 - Rational smoothness, cellular decompositions and GKM theory

AU - Gonzales, Richard

PY - 2014/1/29

Y1 - 2014/1/29

N2 - We introduce the notion of ℚ-filtrable varieties: projective varieties with a torus action and a finite number of fixed points, such that the cells of the associated Białynicki-Birula decomposition are all rationally smooth. Our main results develop GKM theory in this setting. We also supply a method for building nice combinatorial bases on the equivariant cohomology of any ℚ-filtrable GKM variety. Applications to the theory of group embeddings are provided.

AB - We introduce the notion of ℚ-filtrable varieties: projective varieties with a torus action and a finite number of fixed points, such that the cells of the associated Białynicki-Birula decomposition are all rationally smooth. Our main results develop GKM theory in this setting. We also supply a method for building nice combinatorial bases on the equivariant cohomology of any ℚ-filtrable GKM variety. Applications to the theory of group embeddings are provided.

KW - Algebraic monoids

KW - Algebraic torus actions

KW - Equivariant cohomology

KW - GKM theory

KW - Group embeddings

KW - Rational smoothness

UR - https://www.scopus.com/pages/publications/84893398843

U2 - 10.2140/gt.2014.18.291

DO - 10.2140/gt.2014.18.291

M3 - Article

AN - SCOPUS:84893398843

SN - 1465-3060

VL - 18

SP - 291

EP - 326

JO - Geometry and Topology

JF - Geometry and Topology

IS - 1

ER -

Rational smoothness, cellular decompositions and GKM theory

Resumen

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto