Results 1 to 10 of about 31,511 (27)

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

The smooth Whitehead spectrum of a point at odd regular primes [PDF]

, 2003
Let p be an odd regular prime, and assume that the Lichtenbaum-Quillen conjecture holds for K(Z[1/p]) at p. Then the p-primary homotopy type of the smooth Whitehead spectrum Wh(*) is described.
Adams, Adams, Bloch, Bökstedt, Bökstedt, Farrell, Hoobler, John Rognes, Madsen, Madsen, Madsen, May, Milne, Milne, Mitchell, Mukai, Quillen, Quillen, Quillen, Quillen, Ravenel, Steenrod, Suslin, Tate, Toda, Voevodsky, Voevodsky, Waldhausen, Waldhausen, Waldhausen, Waldhausen, Waldhausen, Waldhausen   +32 more
core   +5 more sources

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

All integral slopes can be Seifert fibered slopes for hyperbolic knots [PDF]

, 2005
Which slopes can or cannot appear as Seifert fibered slopes for hyperbolic knots in the 3-sphere S^3? It is conjectured that if r-surgery on a hyperbolic knot in S^3 yields a Seifert fiber space, then r is an integer.
Aït-Nouh, Bleiler, Gabai, Gordon, Gordon, Gordon, Hyun-Jong Song, Kimihiko Motegi, Kronheimer, Kronheimer, Mathieu, Miyazaki, Montesinos, Motegi   +13 more
core   +2 more sources

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

Open string theory and planar algebras [PDF]

, 2009
In this note we show that abstract planar algebras are algebras over the topological operad of moduli spaces of stable maps with Lagrangian boundary conditions, which in the case of the projective line are described in terms of real rational functions ...
Alling N L, Bisch D, Guionnet A Jones V F R Shlyakhtenko D, Jones V F R, Katz S, Liu C C M, Matilde Marcolli, May J P, Natanzon S, Natanzon S, Okounkov A, Seppälä M, Özgür Ceyhan   +12 more
core   +5 more sources

Nullification functors and the homotopy type of the classifying space for proper bundles [PDF]

, 2005
Let G be a discrete group for which the classifying space for proper G-actions is finite-dimensional. We find a space W such that for any such G, the classifying space PBG for proper G-bundles has the homotopy type of the W-nullification of BG.
Baum, Bousfield, Bousfield, Brown, Conway, Coxeter, Dwyer, Farjoun, Gabriel, Goerss, Jardine, MacLane, Mislin, Mislin, Ol’shanskiĭ, Ramon J Flores, Robinson, Serre, Switzer, tom Dieck   +19 more
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

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