On smooth Chas–Sullivan loop product in Quillen's geometric complex cobordism of Hilbert manifolds
نویسندگان
چکیده
منابع مشابه
On Smooth Chas-sullivan Loop Product in Quillen’s Geometric Complex Cobordism of Hilbert Manifolds
In [1], by using Fredholm index we developed a version of Quillen’s geometric cobordism theory for infinite dimensional Hilbert manifolds. This cobordism theory has a graded group structure under topological union operation and has push-forward maps for complex orientable Fredholm maps. In [19], by using Quinn’s Transversality Theorem [23], it has been shown that this cobordism theory has a gra...
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 کاملComplex cobordism of Hilbert manifolds with some applications to flag varieties of loop groups
We develop a version of Quillen’s geometric cobordism theory for infinite dimensional separable Hilbert manifolds. This cobordism theory has a graded group structure under the topological union operation and has pushforward maps for Fredholm maps. We discuss transverse approximations and products, and the contravariant property of this cobordism theory. We define Euler classes for finite dimens...
متن کاملOn Fredholm Index,transversal Approximations and Quillen’s Geometric Complex Cobordism of Hilbert Manifolds with Some Applications to Flag Varieties of Loop Groups
In [2], by using Fredholm index we developed a version of Quillen’s geometric cobordism theory for infinite dimensional Hilbert manifolds. This cobordism theory has a graded group structure under topological union operation and has push-forward maps for complex orientable Fredholm maps. In this work, by using Quinn’s Transversality Theorem [24], it will be shown that this cobordism theory has a...
متن کاملComplex cobordism and embeddability of CR-manifolds
This paper studies complex cobordisms between compact, three dimensional, strictly pseudoconvex Cauchy-Riemann manifolds. Suppose the complex cobordism is given by a complex 2-manifold X with one pseudoconvex and one pseudoconcave end. We answer the following questions. To what extent is X determined by the pseudoconvex end? What is the relation between the embeddability of the pseudoconvex end...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2006
ISSN: 0166-8641
DOI: 10.1016/j.topol.2005.08.004