On the generalized Casson invariant
نویسندگان
چکیده
منابع مشابه
On the Generalized Casson Invariant
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 topologica...
متن کاملOn the Casson Knot Invariant
In our previous paper 19] we introduced a new type of combinatorial formulas for Vassiliev knot invariants and presented lots of formulas of this type. To the best of our knowledge, these formulas are by far the simplest and the most practical for computational purposes. Since then Goussarov has proved the main conjecture formulated in 19]: any Vassiliev knot invariant can be described by such ...
متن کاملThe SU(3) Casson invariant of spliced sums
as a S1-valued Morse function on A/G, A being the space of SU(2) connections onM and G the group of gauge transformations. Taubes realized that the Hessian of the Chern-Simons invariant and the odd signature operator coupled to the same path of SU(2) connections have the same spectral flow. Using Taubes’s point of view, an SU(3) Casson invariant τ was introduced by [1] and later refined by [3],...
متن کاملp-Modular TQFT’s, Milnor torsion and the Casson-Lescop invariant
We derive formulae which lend themselves to TQFT interpretations of the Milnor torsion, the Lescop invariant, the Casson invariant, and the Casson-Morita cocyle of a 3-manifold, and, furthermore, relate them to the Reshetikhin-Turaev theory. AMS Classification 57R56, 57M27; 17B10, 17B37, 17B50, 20C20
متن کاملThe Theta Divisor and the Casson - Walker Invariant
We use Heegaard decompositions and the theta divisor on a Riemann-ian surface to define a three-manifold invariant for rational homology three-spheres. This invariant is defined on the set of Spin c structures θ : Spin c (Y) −→ Q. In the first part of the paper, we give the definition of the invariant (which builds on the theory developed in [18]). In the second part, we establish a relationshi...
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: Advances in Theoretical and Mathematical Physics
سال: 1999
ISSN: 1095-0761,1095-0753
DOI: 10.4310/atmp.1999.v3.n2.a4