Results 11 to 20 of about 17,755 (107)
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.
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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 +2 more
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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 +19 more
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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
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The dual boundary complex of the $SL_2$ character variety of a punctured sphere [PDF]
, 2015 Suppose $C_1,\ldots , C_k$ are generic conjugacy classes in $SL_2({\mathbb C})$. Consider the character variety of local systems on ${\mathbb P}^1-\{ y_1,\ldots , y_k\}$ whose monodromy transformations around the punctures $y_i$ are in the respective ...
Simpson, Carlos
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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 +10 more
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, 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 +8 more
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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
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Multiscale Cell–Cell Interactive Spatial Transcriptomics Analysis
Advanced Science, EarlyView.In this study, we present the MultiScale Cell‐Cell Interactive Spatial Transcriptomics Analysis method, which unites the strengths of spatially resolved deep learning techniques with a topological representation of multi‐scale cell‐cell similarity relations.
Sean Cottrell, Guo‐Wei Wei
wiley +1 more source
Homotopically trivial deformations
, 2012 We study deformations of complex projective varieties that are homotopically or homologically trivial.
de Bobadilla, Javier Fernandez +1 more
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