On the Generalized Casson Invariant

نویسنده

  • George Thompson
چکیده

The path integral generalization of the Casson invariant as developed by Rozansky and Witten is investigated. The path integral for various three manifolds is explicitly evaluated. A new class of topological observables is introduced that may allow for more effective invariants. Finally it is shown how the dimensional reduction of these theories corresponds to a generalization of the topological B sigma model. email: [email protected]

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

An equivariant Casson invariant of knots in homology spheres

From the construction of the Casson invariant of homology spheres using intersection on configuration spaces, we propose a construction of an equivariant Casson invariant for a knot K homologous to 0 in rational homology sphere M . Our construction is adapted from C. Lescop ([7]) and use the same ideas in an equivariant setting. We show that the invariant we obtain is similar to the 2-loop part...

متن کامل

Generalized Baer-Invariant of a Pair of Groups and Marginal Extension

In this paper, we give connection between the order of the generalized Baer-invariant of a pair of finite groups and its factor groups, when ? is considered to be the specific variety. Moreover, we give a necessary and sufficient condition in which the generalized Baer-invariant of a pair of groups can be embedded into the generalized Baer-invariant of pair of its factor groups.

متن کامل

The Su(3) Casson Invariant for 3-manifolds Split along a 2-sphere or a 2-torus

We describe the deenition of the SU(3) Casson invariant and outline an argument which determines the contribution of certain types of components of the at moduli space. Two applications of these methods are detailed. The rst is a connect sum formula for the SU(3) Casson invariant 3]. The second presents a strategy for computing the SU(3) Casson invariant for certain graph manifolds.

متن کامل

Generalized Baer-Invariant of a Pair of Groups and the Direct Limit

In this paper we introduce the concept of generalized Baer-invariant of a pair of groups with respect to two varieties ? and ? of groups. We give some inequalities for the generalized Baer-invariant of a pair of finite groups, when ? is considered to be the Schur-Baer variety. Further, we present a sufficient condition under which the order of the generalized Baer-invariant of a pair of finite ...

متن کامل

A Symplectic Geometry Approach to Generalized Casson's Invariants of 3-manifolds

1. In 1985 lectures at MSRI, Andrew Casson introduced an integer valued invariant À(M) for any oriented integral homology 3-sphere M. This invariant has many remarkable properties; detailed discussions of some of these can be found in an exposé by S. Akbulut and J. McCarthy (see [AM]). Roughly, A(M) measures the 'oriented' number of irreducible representations of the fundamental group n{(M) in ...

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 1998