The oriented homotopy type of spun 3-manifolds

Presentations of homotopy skein modules of oriented 3-manifolds

A new method to derive presentations of skein modules is developed. For the case of homotopy skein modules it will be shown how the topology of a 3-manifold is reflected in the structure of the module. The freeness problem for q-homotopy skein modules is solved, and a natural skein module related to linking numbers is computed.

Deformation of Homotopy into Isotopy in Oriented 3-manifolds

We will show that deformation quantization in skein theory of oriented 3-manifolds is induced from a topological deformation quantization of the fundamental 2-groupoid of the space of immersions of circles in M . The structure of skein module and its relations with string topology homomorphisms appear through representations of the groupoid structure into the set the objects. The deformation of...

Strong Homotopy Equivalence of 3-manifolds

Decomposing Four-Manifolds up to Homotopy Type

Let M be a closed connected oriented topological 4-manifold with fundamental group π1. Let Λ be the integral group ring of π1. Suppose that f : M → P is a degree one map inducing an isomorphism on π1. We give a homological condition on the intersection forms λM and λ Λ M under which M is homotopy equivalent to a connected sum P#M ′ for some simply-connected closed (non-trivial) topological 4-ma...

the investigation of the relationship between type a and type b personalities and quality of translation

چکیده ندارد.