Results 31 to 40 of about 10,908 (97)
Embedding, compression and fiberwise homotopy theory
Given Poincare spaces M and X, we study the possibility of compressing embeddings of M x I in X x I down to embeddings of M in X. This results in a new approach to embedding in the metastable range both in the smooth and Poincare duality categories ...
Browder +12 more
core +3 more sources
Module structure of Weyl algebras
Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
wiley +1 more source
Fundamental groups, geometry, and some papers of Scott
Abstract Throughout the history of 3‐manifolds, the fundamental group has played a central role. There is a list of reasons for that, and exactly what that role is has evolved over time, but it has always been a player. The papers under consideration here all written by G.
D. D. Long
wiley +1 more source
C.T.C. Wall's 1964 articles on 4‐manifolds
Abstract I survey C. T. C. Wall's influential papers, ‘Diffeomorphisms of 4‐manifolds’ and ‘On simply‐connected 4‐manifolds’, published in 1964 on pp. 131–149 of volume 39 of the Journal of the London Mathematical Society.
Mark Powell
wiley +1 more source
$C^*$-algebraic drawings of dendroidal sets
In recent years the theory of dendroidal sets has emerged as an important framework for higher algebra. In this article we introduce the concept of a $C^*$-algebraic drawing of a dendroidal set. It depicts a dendroidal set as an object in the category of
Mahanta, Snigdhayan
core +1 more source
Theta divisors and permutohedra
Abstract We establish an intriguing relation of the smooth theta divisor Θn$\Theta ^n$ with permutohedron Πn$\Pi ^n$ and the corresponding toric variety XΠn$X_\Pi ^n$. In particular, we show that the generalised Todd genus of the theta divisor Θn$\Theta ^n$ coincides with h$h$‐polynomial of permutohedron Πn$\Pi ^n$ and thus is different from the same ...
V. M. Buchstaber, A. P. Veselov
wiley +1 more source
Siegel–Veech constants for cyclic covers of generic translation surfaces
Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino +4 more
wiley +1 more source
A Framework for the Solution of Tree‐Coupled Saddle‐Point Systems
ABSTRACT We consider the solution of saddle‐point systems with a tree‐based block structure, introducing a parallelizable direct method for their solution. As our key contribution, we then propose several structure‐exploiting preconditioners to be used during applications of the GMRES algorithm and analyze their properties.
Christoph Hansknecht +3 more
wiley +1 more source
On differential graded categories [PDF]
Differential graded categories enhance our understanding of triangulated categories appearing in algebra and geometry. In this survey, we review their foundations and report on recent work by Drinfeld, Dugger-Shipley, ..., Toen and Toen-Vaquie.Comment ...
Keller, Bernhard
core +4 more sources
Preorientations of the derived motivic multiplicative group
We provide a proof in the language of model categories and symmetric spectra of Lurie's theorem that topological complex $K$-theory represents orientations of the derived multiplicative group.
Hornbostel, Jens
core +1 more source

