Cylindrical homomorphisms and Lawson homology
نویسندگان
چکیده
منابع مشابه
Introduction 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 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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1. Basic Definitions and Notation 3 2. Homotopy Preliminaries 6 3. Transversality 8 4. Index 12 4.1. First formulas for the index. 13 4.2. Determining S from A. 14 4.3. Comparison with classical Heegaard Floer homology. 21 4.4. Index for A ∈ π2(~x, ~x). 22 5. Admissibility Criteria 23 6. Orientations 26 7. Bubbling 27 8. Chain Complexes 29 8.1. Action of H1(Y,Z)/Tors 32 9. Isotopy invariance 34...
متن کاملGeorge Lawson and
LSE has developed LSE Research Online so that users may access research output of the School. Copyright © and Moral Rights for the papers on this site are retained by the individual authors and/or other copyright owners. Users may download and/or print one copy of any article(s) in LSE Research Online to facilitate their private study or for non-commercial research. You may not engage in furthe...
متن کاملLawson homology for varieties with small Chow groups and the induced filtration on the Griffiths groups
These groups form an intriguing set of invariants. Despite the vast literature on this subject, the groups have been calculated only in very few cases, such as for the projective spaces. One of the goals of this note is to understand these invariants in case the variety has “few cycles” in the sense that rational and homological equivalence coincide for all m-cycles up to a certain rank m = s. ...
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ژورنال
عنوان ژورنال: Journal of K-Theory
سال: 2010
ISSN: 1865-2433,1865-5394
DOI: 10.1017/is010004024jkt108