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Invariants• The Rokhlin invariant is a -valued invariant of homology 3-spheres.
• The Casson invariant is an integer valued invariant of homology 3-spheres, whose reduction mod 2 is the Rokhlin invariant.… See moreApplicationsIf A is a homology 3-sphere not homeomorphic to the standard 3-sphere, then the suspension of A is an example of a 4-dimensional homology manifold that is not a topological manifold. The double suspensio… See more
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- An important class of manifolds called Brieskorn manifolds are obtained as links of Brieskorn singularities. These include the Poincare homology sphere. These also have descriptions as Seifert manifolds.
Title: Monopole Floer homology for rational homology 3-spheres
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 …
[1605.08530] Integer homology 3-spheres admit irreducible ...
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 …
- Author: Raphael Zentner
- Publish Year: 2016
Invariants of Homology 3-Spheres | SpringerLink
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 outstanding role in geometric topology for the past fifty years.
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Homology 3-Spheres - SpringerLink
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 * (S 3, R). In dimension three, the …
Assum-ing certain conjectures in number theory, we show that there exist hyperbolic rational homology 3–spheres with arbitrarily large injectivity radius. These examples come from a …
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 …
In § 3 we compute the instanton index SF(0, a) for representations of Seifert-fibred homology spheres and prove that it is always even, so that the differential of the instanton complex is …
FΊoer homology is a mod 8-graded homology theory for integral ho-mology 3-spheres Y [8]. "The FΊoer" chain groups C^(Y) are generated by irreducible SU(2)-representations of the …
It is the purpose of this paper to use this set of generators to obtain a representation theorem for all homology 3-spheres as special framed links. It turns out that the formula for the /^-invariant …
FREE FINITE GROUP ACTIONS ON RATIONAL HOMOLOGY 3{SPHERES ALEJANDRO ADEM AND IAN HAMBLETON Abstract. We use methods from the cohomology of groups to describe …
Floer homology of connected sum of homology 3-spheres
Jan 1, 1996 · In this paper we study the Floer homology group [11] /* (M) in the case when R (M} is of positive dimension. Such a situation occurs naturally in the case when M is a connected …
Trivial cocycles and invariants of homology 3-spheres
Jan 15, 2009 · 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 …
We study 3-manifolds that are homology 3-spheres and which ad-mit nontrivial regular coverings by homology 3-spheres. Our main theorem establishes a relationship between such coverings …
We show that if each of K1 and K2 is a trefoil knot or a figure eight knot, the homology 3-sphere defined by the Kirby diagram which is a simple link of K1 and K2 with framing (0, n) is …
We show that the degree n part of Ω is an invariant of degree 3n which dominates all other invariants of degree 3n. This implies that the set of finite type invariants of homology 3-spheres …
RATIONAL HOMOLOGY 3-SPHERES AND SL(2;C) REPRESENTATIONS SUDIPTA GHOSH, STEVEN SIVEK, AND RAPHAEL ZENTNER Abstract. We use instanton gauge theory to …
homology sphere - PlanetMath.org
Feb 10, 2018 · A compact n-manifold M is called a homology sphere if its homology is that of the n-sphere S n, i.e. H 0 (M; ℤ) ≅ H n (M; ℤ) ≅ ℤ and is zero otherwise.
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 …
Rapid traversal of vast chemical space using machine learning …
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 …
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