The Lawson homology for Fulton–MacPherson configuration spaces
نویسندگان
چکیده
منابع مشابه
On the Homology of Configuration Spaces
The homology with coefficients in a field of the configuration spaces C(M × Rn, Mo × R n;X) is determined in this paper.
متن کاملIntroduction to Lawson homology
Lawson homology has quite recently been proposed as an invariant for algebraic varieties. Various equivalent definitions have been suggested, each with its own merit. Here we discuss these for projective varieties and we also derive some basic properties for Lawson homology. For the general case we refer to Paulo Lima-Filho’s lectures in this volume.
متن کاملGraph homology and graph configuration spaces
If R is a commutative ring, M a compact R-oriented manifold and G a finite graph without loops or multiple edges, we consider the graph configuration space MG and a Bendersky–Gitler type spectral sequence converging to the homology H∗(M, R). We show that its E1 term is given by the graph cohomology complex CA(G) of the graded commutative algebra A = H∗(M, R) and its higher differentials are obt...
متن کاملRational homology of configuration spaces via factorization homology
The study of configuration spaces is particularly tractable over a field of characteristic zero, and there has been much success in producing chain complexes simple enough for explicit computations, formulas for Betti numbers, and descriptive results such as homological stability. I will discuss recent work identifying the homology of the configuration spaces of an arbitrary manifold M with the...
متن کاملChow Flag Variety and Lawson Homology
The Chow flag varieties are introduced and studied. In a family of pure dimensional projective complex varieties defined via Chow flag varieties, the isomorphism type of Lawson homology of a general member in the family is discussed. Applications to morphic cohomology and motivic cohomology on smooth projective complex varieties are discussed.
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2009
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2009.9.455