Hirzebruch class and Białynicki-Birula decomposition

DOI10.1007/s00031-016-9388-3zbMath1390.14165arXiv1411.6594OpenAlexW2256123851WikidataQ59608437 ScholiaQ59608437MaRDI QIDQ2410924

Andrzej Weber

Publication date: 19 October 2017

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.6594

zbMATH Keywords

circle actionHirzebruch genusalgebraic actionBialynicki-Birula decompositionHirzebruch classAtiyah-Bott-Berline-Vergne localization formula

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Classical problems, Schubert calculus (14N15)

Related Items

P=W conjectures for character varieties with symplectic resolution ⋮ Twisted motivic Chern class and stable envelopes ⋮ Comparison of motivic Chern classes and stable envelopes for cotangent bundles ⋮ Characteristic Classes of Orbit Stratifications, the Axiomatic Approach ⋮ Motivic Chern classes of configuration spaces ⋮ Equivariant Hirzebruch classes and Molien series of quotient singularities ⋮ Equivariant Hirzebruch class for singular varieties ⋮ Białynicki-Birula decomposition for reductive groups

Cites Work

• Equivariant Hirzebruch class for singular varieties
• Fixed points and torsion on Kähler manifolds
• A decomposition theorem for the integral homology of a variety
• The moment map and equivariant cohomology
• Some topological aspects of C* actions on compact Kaehler manifolds
• Supersymmetry and Morse theory
• Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant
• Equivariant cohomology, Koszul duality, and the localization theorem
• Equivariant completion
• A theorem on fixed points for periodic transformations
• Complex geometry. An introduction
• Some theorems on actions of algebraic groups
• On motivic decompositions arising from the method of Białynicki-Birula
• The index of elliptic operators. III
• Equivariant K-theory
• The spectrum of an equivariant cohomology ring. I. II
• Topological Schur lemma and related results
• Localization and the quantization conjecture
• Nondegenerate critical manifolds
• Introduction to Toric Varieties. (AM-131)
• Seminar on Transformation Groups. (AM-46)
• HIRZEBRUCH CLASSES AND MOTIVIC CHERN CLASSES FOR SINGULAR SPACES
• Localization in equivariant intersection theory and the Bott residue formula
• The universal Euler characteristic for varieties of characteristic zero
• Equivariant Hirzebruch class for quadratic cones via degenerations
• On rigid Hirzebruch genera
• A Lefschetz fixed point formula for elliptic differential operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Hirzebruch class and Białynicki-Birula decomposition