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Sep 29, 2008 · We give a new construction of monopole Floer homology for spin-c rational homology 3-spheres. As applications we define two invariants of certain smooth compact 4 …

Automorphic forms and rational homology 3–spheres 299 homology spheres comes from switching between non-compact covers of Bianchi manifolds and compact arithmetic quotients …

By an R-homology 3-sphere we will mean a closed oriented 3-manifold M such that H * (M, R) = H * (S 3, R). In dimension three, the concepts of topological, smooth, and PL manifolds coincide, …

Jul 2, 1999 · We attempt to define a new invariant I of (almost) Calabi-Yau 3-folds M, by counting special Lagrangian rational homology 3-spheres N in M in each 3-homology class, with a …

May 27, 2016 · We prove that the fundamental group of any integer homology 3-sphere different from the 3-sphere admits irreducible representations of its fundamental group in SL(2,C). For …

1 Homology 3-Spheres Let R be a commutative ring with an identity element. By an R-homology 3-sphere we will mean a closed oriented 3-manifold M such that H. (M, R) = H, (83 , R). In …

INSTANTON HOMOLOGY OF SEIFERT FIBRED HOMOLOGY THREE SPHERES RONALD FINTUSHEL and RONALD J. STERN [Received 4 October 1988—Revised 5 May 1989] 1. …

Jan 23, 2022 · If you wanted to enumerate every homology sphere, you could list elements of the Torelli group, and construct 3-manifolds, then throw away repeats by using some solution to …

Every homology 3-sphere can be represented as a framed link, in the sense of Kirby, of the following special type. There are k disjoint embeddings in S s of a genus one

For nullhomologous knots in rational homology 3–spheres with a trivial Alexander polynomial, we show that the Kricker lift of the Kontsevich integral and the Lescop equivariant invariant built …

Let (Σ,X,c) be a triple composed of a homology 3-sphere Σ, a compact smooth spin 4- V -manifold X with boundary ∂X ∼= Σ, and a V -spin c structure c on X .

In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation spaces. This invariant generalizes...

Mar 16, 1997 · Abstract: In this thesis we study the Seiberg-Witten theory of an oriented homology 3-sphere. The goal is to extract topological invariants - the Seiberg-Witten invariants - by …

Sep 14, 2017 · Let $Y^3$ be a integer homology 3-sphere, i.e. $H_k(Y;\mathbb{Z}) = H_k(S^3;\mathbb{Z}), \forall k$, i.e. $$ H_0(Y;\mathbb{Z}) = H_3(Y;\mathbb{Z}) = \mathbb{Z} …

Jan 4, 2014 · Even with the Poincare conjecture solved, invariants of homology $3$-spheres are a good first step in the classification of all smooth $3$-manifolds - a classification which is …

In this paper we will give a general framework to construct invariants of homology spheres in a purely algebraic setting as functions out of the full Torelli group. We will show that the algebraic

Sep 5, 2002 · Homology 3-sphere is a closed 3-dimensional manifold whose homology equals that of the 3-sphere. These objects may look rather special but they have played an …

5 days ago · One hundred homology models of the activated D 2 R bound to agonist ligand (PD128907) were constructed using MODELLER 56 version 10.2 based on a cryo-EM …