RATIONAL BLOW-DOWNS IN HEEGAARD–FLOER HOMOLOGY
نویسندگان
چکیده
منابع مشابه
Rational Homology 7-Spheres
In this paper we demonstrate the existence of Sasakian-Einstein structures on certain 2-connected rational homology 7-spheres. These appear to be the first non-regular examples of Sasakian-Einstein metrics on simply connected rational homology spheres. We also briefly describe the rational homology 7-spheres that admit regular positive Sasakian structures.
متن کاملSignatures of Links in Rational Homology Spheres
A theory of signatures for odd-dimensional links in rational homology spheres are studied via their generalized Seifert surfaces. The jump functions of signatures are shown invariant under appropriately generalized concordance and a special care is given to accommodate 1-dimensional links with mutual linking. Furthermore our concordant theory of links in rational homology spheres remains highly...
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 کاملThe rational homology of real toric manifolds
Toric manifolds. In a seminal paper [7] that appeared some twenty years ago, Michael Davis and Tadeusz Januszkiewicz introduced a topological version of smooth toric varieties, and showed that many properties previously discovered by means of algebro-geometric techniques are, in fact, topological in nature. Let P be an n-dimensional simple polytope with facets F1, . . . , Fm, and let χ be an in...
متن کاملKnot Floer Homology and Rational Surgeries
Let K be a rationally null-homologous knot in a three-manifold Y . We construct a version of knot Floer homology in this context, including a description of the Floer homology of a three-manifold obtained as Morse surgery on the knot K. As an application, we express the Heegaard Floer homology of rational surgeries on Y along a null-homologous knot K in terms of the filtered homotopy type of th...
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: Communications in Contemporary Mathematics
سال: 2008
ISSN: 0219-1997,1793-6683
DOI: 10.1142/s0219199708002880