منابع مشابه
Singular link Floer homology
We define a grid presentation for singular links, i.e. links with a finite number of rigid transverse double points. Then we use it to generalize link Floer homology to singular links. Besides the consistency of its definition, we prove that this homology is acyclic under some conditions which naturally make its Euler characteristic vanish. Introduction Since the Jones polynomial was categorifi...
متن کاملOriented Singular Homology
We formulate three slightly di erent notions of oriented singular chain complexes and show that all three are naturally homotopic to ordinary singular chain complexes
متن کاملSingular Homology of Arithmetic Schemes
We construct a singular homology theory on the category of schemes of finite type over a Dedekind domain and verify several basic properties. For arithmetic schemes we construct a reciprocity isomorphism between the integral singular homology in degree zero and the abelianized modified tame fundamental group.
متن کاملFloer Homology and Singular Knots
In this paper we define and investigate variants of the link Floer homology introduced by the first and third authors. More precisely, we define Floer homology theories for oriented, singular knots in S and show that one of these theories can be calculated combinatorially for planar singular knots.
متن کاملEquivariant Singular Homology and Cohomology
Let G be a topological group. By a G-space X we mean a topological space X together with a left action of G on X. Under the assumption that G is a compact Lie group, a discrete group or an abelian locally compact group, we constructed in [5] (see also [6]) an equivariant homology and cohomology theory, defined on the category of all G-pairs and G-maps, which both satisfy all seven equivariant E...
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: Fundamenta Mathematicae
سال: 1966
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-59-3-331-341