Darondeau–Pragacz formulas in complex cobordism
نویسندگان
چکیده
In this paper, we generalize the push-forward (Gysin) formulas for flag bundles in ordinary cohomology theory, which are due to Darondeau-Pragacz, complex cobordism theory. Then introduce {\it universal quadratic Schur functions}, a generalization of (ordinary) functions introduced by and establish some Gysin as an application our formulas.
منابع مشابه
Toric Topology and Complex Cobordism
We plan to discuss how the ideas and methodology of Toric Topology can be applied to one of the classical subjects of algebraic topology: finding nice representatives in complex cobordism classes. Toric and quasitoric manifolds are the key players in the emerging field of Toric Topology, and they constitute a sufficiently wide class of stably complex manifolds to additively generate the whole c...
متن کاملComplex cobordism of Hilbert manifolds
Slide 2 We will define a notion of cobordism generalizing that of Quillen: • D. G. Quillen, Elementary proofs of some results of cobordism theory using Steenrod operations, Adv. in Math. 7 (1971), 29–56. Details appear in • C. Özel, On the Complex Cobordism of Flag Varieties Associated to Loop Groups, PhD thesis, University of Glasgow (1998). • A. Baker & C. Özel, Complex cobordism of Hilbert m...
متن کاملCobordism Theory and Localization Formulas for Hamiltonian Group Actions
Date: December 1995. Available electronically from dg-ga/9601003. The work of all three authors was partially supported by the NSF. 1 However, we will usually allow our closed two-forms to be degenerate. A similar cobordism technique has been developed and used independently of us by Shaun Martin in his study of Hamiltonian group actions on symplectic manifolds [Mar]. We wish to thank him for a...
متن کاملComplex Cobordism Theory for Number Theorists
The purpose of this paper is to give the algebraic topological background for elliptic cohomology theory and to pose some number theoretic problems suggested by these concepts. Algebraic topologists study functors from the category of spaces to various algebraic categories. In particular there are functors to the category of graded rings called multiplicative generalized cohomology theories. (A...
متن کاملThe Hopf Ring for Complex Cobordism
It is our purpose here to announce the results of our study of the homology of the spaces in the £2-spectrum for complex cobordism and BrownPeterson cohomology. Let MU(n) be the standard Thorn complex. MUk = l im^^ ü,(~~)MU(n) is the 2k space in the £2-spectrum for complex cobordism. We will consider the space MU — hmn^_00 Iï ;>n MUf-. We find this product easier to study than the separate fact...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2021
ISSN: ['1432-1807', '0025-5831']
DOI: https://doi.org/10.1007/s00208-021-02196-5