Némethi's division algorithm for zeta-functions of plumbed 3-manifolds
نویسندگان
چکیده
منابع مشابه
Cobordism category of plumbed 3-manifolds and intersection product structures
In this paper, we introduce a category of graded commutative rings with certain algebraic morphisms, to investigate the cobordism category of plumbed 3-manifolds. In particular, we define a non-associative distributive algebra that gives necessary conditions for an abstract morphism between the homologies of two plumbed 3-manifolds to be realized geometrically by a cobordism. Here we also consi...
متن کاملZeta Functions, Determinants and Torsion for Open Manifolds
On an open manifold, the spaces of metrics or connections of bounded geometry, respectively, split into an uncountable number of components. We show that for a pair of metrics or connections, belonging to the same component, relative ζ-functions, determinants, torsion for pairs of generalized Dirac operators are well defined.
متن کاملRay-singer Zeta Functions for Compact Flat Manifolds
A compact orientable flat manifold M is expressed as M = R/Γ with a torsion free discrete subgroup of the group of orientation preserving motions of R. There is a natural one-to-one correspondence between the set of conjugacy classes [γ], γ ∈ Γ, and the set of free homotopy classes of maps of S into M . We denote by M[γ] the set of closed geodesics c : S −→ M belonging to the homotopy class [γ]...
متن کاملR-torsion and Zeta Functions for Analytic Anosov Flows on 3-manifolds
We improve previous results relating R-torsion, for an acyclic representation of the fundamental group, with a special value of the torsion zeta function of an analytic Anosov flow on a 3-manifold. By using the new techniques of Rugh and Fried we get rid of the unpleasent assumptions about the regularity of the invariant foliations.
متن کاملSurgery Formula for Seiberg–witten Invariants of Negative Definite Plumbed 3-manifolds
We derive a cut-and-paste surgery formula of Seiberg–Witten invariants for negative definite plumbed rational homology 3-spheres. It is similar to (and motivated by) Okuma’s recursion formula [27, 4.5] targeting analytic invariants of splice-quotient singularities. Combining the two formulas automatically provides a proof of the equivariant version [11, 5.2(b)] of the Seiberg–Witten invariant c...
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: Bulletin of the London Mathematical Society
سال: 2018
ISSN: 0024-6093
DOI: 10.1112/blms.12198