Oriented Singular Homology

نویسندگان

  • MICHAEL BARR
  • Ronald Brown
چکیده

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

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Floer 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 کامل

On product structures in Floer homology of cotangent bundles

In an earlier paper we have shown that the pair-of-pants product on the Floer homology of the cotangent bundle of an oriented compact manifold Q corresponds to the Chas-Sullivan loop product on the singular homology of the free loop space of Q. We now give chain level constructions of further product structures in Floer homology, corresponding to the cup product on the homology of any path spac...

متن کامل

Cobordism of Morse functions on surfaces, the universal complex of singular fibers and their application to map germs

We give a new and simple proof for the computation of the oriented and the unoriented fold cobordism groups of Morse functions on surfaces. We also compute similar cobordism groups of Morse functions based on simple stable maps of 3–manifolds into the plane. Furthermore, we show that certain cohomology classes associated with the universal complexes of singular fibers give complete invariants f...

متن کامل

Effective Computational Geometry for Curves and Surfaces Chapter 7 Computational Topology: An Introduction

approach is followed in the context of singular homology theory. This theory is more powerful when proving general results like topological invariance of homology spaces. Since we focus on basic computational techniques we will not discuss this theory here, but refer the reader to standard textbooks on algebraic topology, like [11]. The equivalence of Simplicial and Singular Homology is proven ...

متن کامل

Casson-lin’s Invariant of a Knot and Floer Homology

A. Casson defined an intersection number invariant which can be roughly thought of as the number of conjugacy classes of irreducible representations of π1(Y ) into SU(2) counted with signs, where Y is an oriented integral homology 3-sphere. X.S. Lin defined an similar invariant (signature of a knot) to a braid representative of a knot in S. In this paper, we give a natural generalization of the...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1995