Results 1 to 10 of about 18,184 (106)

Hirzebruch $\chi_y$-genera modulo $8$ of fiber bundles for odd integers $y$ [PDF]

, 2016
I. Hambleton, A. Korzeniewski and A. Ranicki have proved that the signature of a fiber bundle F↪E→B of closed, connected, compatibly oriented PL manifolds is always multiplicative mod4, i.e. σ(E)≡σ(F)σ(B)mod4. In this paper, we consider the Hirzebruch χy-
Rovi, C., Yokura, S.
core   +1 more source

Singularities and Semistable Degenerations for Symplectic Topology [PDF]

, 2017
We overview our recent work defining and studying normal crossings varieties and subvarieties in symplectic topology. This work answers a question of Gromov on the feasibility of introducing singular (sub)varieties into symplectic topology in the case of
McLean, Mark, Tehrani, Mohammad Farajzadeh, Zinger, Aleksey   +2 more
core   +3 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

A Torelli theorem for moduli spaces of principal bundles over a curve [PDF]

, 2011
Let X and X' be compact Riemann surfaces of genus at least 3, and let G and G' be nonabelian reductive complex groups. If one component M_G^d(X) of the moduli space for semistable principal G-bundles over X is isomorphic to another component M_{G'}^{d ...
Biswas, Indranil, Hoffmann, Norbert
core   +3 more sources

Families of Group Actions, Generic Isotriviality, and Linearization [PDF]

, 2014
We study families of reductive group actions on A2 parametrized by curves and show that every faithful action of a non-finite reductive group on A3 is linearizable, i.e. G-isomorphic to a representation of G.
Kraft, Hanspeter, Russell, Peter
core   +1 more source

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

Closed surface bundles of least volume

, 2010
Since the set of volumes of hyperbolic 3-manifolds is well ordered, for each fixed g there is a genus-g surface bundle over the circle of minimal volume.
Cho, Fried, Gabai, Heard, Hironaka, John W Aaber, Kin, Lanneau, Nathan Dunfield, Otal, Thurston   +10 more
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

Rationally connected varieties over local fields

, 1999
Let X be a smooth, projective variety defined over a local field K. Following Manin, two K-points of X are called R-equivalent if they can be joined by a rational curve defined over K.
Kollár, János
core   +3 more sources

Homotopically trivial deformations

, 2012
We study deformations of complex projective varieties that are homotopically or homologically trivial.
de Bobadilla, Javier Fernandez, Kollár, János   +1 more
core   +1 more source