ε∇4 R 4 type invariants and their gradient expansion
نویسندگان
چکیده
منابع مشابه
Open Manifolds, Ozsvath-szabo Invariants and Exotic R 4 ’s
We construct an invariant of open four-manifolds using the Heegaard Floer theory of Ozsvath and Szabo. We show that there is a manifold X homeomorphic to R for which the invariant is non-trivial, showing that X is an exotic R. This is the first invariant that detects exotic R’s.
متن کاملSplice Graphs and their Vertex-Degree-Based Invariants
Let G_1 and G_2 be simple connected graphs with disjoint vertex sets V(G_1) and V(G_2), respectively. For given vertices a_1in V(G_1) and a_2in V(G_2), a splice of G_1 and G_2 by vertices a_1 and a_2 is defined by identifying the vertices a_1 and a_2 in the union of G_1 and G_2. In this paper, we present exact formulas for computing some vertex-degree-based graph invariants of splice of graphs.
متن کاملPrimordial vorticity and gradient expansion
The evolution equations of the vorticities of the electrons, ions and photons in a predecoupling plasma are derived, in a fully inhomogeneous geometry, by combining the general relativistic gradient expansion and the drift approximation within the Adler-Misner-Deser decomposition. The vorticity transfer between the different species is discussed in this novel framework and a set of general cons...
متن کاملFinite Type Invariants of Knots via Their Seifert Matrices∗
We define a filtration on the vector space spanned by Seifert matrices of knots related to Vassiliev’s filtration on the space of knots. Further we show that the invariants of knots derived from the filtration can be expressed by coefficients of the Alexander polynomial. The theory of finite type invariants (Vassiliev invariants) for knots was first introduced by V. Vassiliev [13] and reformula...
متن کاملDonaldson Invariants of Non-simple Type 4-manifolds
D X : A(X) = Sym (H0(X)⊕H2(X)) → C, where w ∈ H(X ;Z). As for the grading of A(X), the elements in H2(X) have degree 2 and the point x ∈ H0(X) has degree 4. Let d0 = −w 2 − 32 (1 + b ), so that for homogeneous z ∈ A(X), D X(z) is non-zero only if 1 2 deg z ≡ d0 (mod 4). Set ℘ = x−4 ∈ A(X) as in [12]. By definition, X is of simple type if the condition D X(℘z) = 0 is satisfied for any z ∈ A(X). ...
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: Journal of High Energy Physics
سال: 2015
ISSN: 1029-8479
DOI: 10.1007/jhep03(2015)089