Results 1 to 10 of about 31,730 (95)

Topology of Exceptional Orbit Hypersurfaces of Prehomogeneous Spaces [PDF]

, 2015
We consider the topology for a class of hypersurfaces with highly nonisolated singularites which arise as exceptional orbit varieties of a special class of prehomogeneous vector spaces, which are representations of linear algebraic groups with open ...
Bruce, James Damon, Nemethi, Siersma, Siersma   +4 more
core   +3 more sources

Non-isotopic Heegaard splittings of Seifert fibered spaces [PDF]

, 2006
We find a geometric invariant of isotopy classes of strongly irreducible Heegaard splittings of toroidal 3-manifolds. Combining this invariant with a theorem of R Weidmann, proved here in the appendix, we show that a closed, totally orientable Seifert ...
Bachman, Cerf, David Bachman, Jaco, Jaco, Jaco, Li, Ryan Derby-Talbot, Sakuma, Sedgwick   +9 more
core   +2 more sources

Rational blow-down along Wahl type plumbing trees of spheres [PDF]

, 2007
We construct smooth 4-manifolds homeomorphic but not diffeomorphic to $CP^2#k\bar{CP^2},k \in {6,7,8,9}$, using the technique of rational blow-down along Wahl type plumbing trees of spheres.Comment: 17 pages, 8 figures, v2: structural revision, accepted ...
Michalogiorgaki, Maria
core   +1 more source

Configuration spaces and Vassiliev classes in any dimension [PDF]

, 2002
The real cohomology of the space of imbeddings of S^1 into R^n, n>3, is studied by using configuration space integrals. Nontrivial classes are explicitly constructed. As a by-product, we prove the nontriviality of certain cycles of imbeddings obtained by
Alberto S Cattaneo, Axelrod, Bott, Bott, Bott, Brylinski, Cattaneo, Fröhlich, Kontsevich, Kontsevich, Paolo Cotta-Ramusino, Riccardo Longoni, Sinha, Tourtchine, Vassiliev, Vassiliev, Witten   +16 more
core   +4 more sources

Deformations of Lie algebras of vector fields arising from families of schemes [PDF]

, 2007
Fialowski and Schlichenmaier constructed examples of global deformations of Lie algebras of vector fields from deforming the underlying variety. We formulate their approach in a conceptual way.
Wagemann, Friedrich
core   +5 more sources

On Fuzzy ideal Homotopy Lifting Property

Wasit Journal for Pure Sciences
In algebraic topology, F.I.H.L.P., or fuzzy ideal Homotopy Lifting Property is   a key principle that offers a foundation for comprehending continuous mappings between topological spaces.
Shahad Hillal Tuaimah, Daher Waly AL - Baydli AL - Baydli   +1 more
doaj   +1 more source

Generalized symplectic rational blowdowns

, 2001
We prove that the generalized rational blowdown, a surgery on smooth 4-manifolds, can be performed in the symplectic category.Comment: Version 2: Correction of a minor error pointed out by an anonymous referee, correction of typos and improvement of ...
Audin, Boucetta, Casson, Fintushel, Margaret Symington, Park, Symington   +6 more
core   +1 more source

Hyperdescent and \'etale K-theory

, 2021
We study the \'etale sheafification of algebraic K-theory, called \'etale K-theory. Our main results show that \'etale K-theory is very close to a noncommutative invariant called Selmer K-theory, which is defined at the level of categories. Consequently,
Clausen, Dustin, Mathew, Akhil
core   +1 more source

Bihomogeneity of solenoids

, 2002
Solenoids are inverse limit spaces over regular covering maps of closed manifolds. M.C. McCord has shown that solenoids are topologically homogeneous and that they are principal bundles with a profinite structure group.
Alex Clark, Kawamura, Kuperberg, Minc, Robbert Fokkink, Rogers, Rogers, Rogers, Steenrod   +8 more
core   +1 more source

On the cohomology algebra of a fiber

, 2001
Let f:E-->B be a fibration of fiber F. Eilenberg and Moore have proved that there is a natural isomorphism of vector spaces between H^*(F;F_p) and Tor^{C^*(B)}(C^*(E),F_p).
Allday, Avramov, Baues, Brown, Félix, Félix, Grivel, Gugenheim, Halperin, Husemoller, Luc Menichi, Mac Lane, Majewski, Sullivan   +13 more
core   +4 more sources