Results 41 to 50 of about 10,908 (98)
Algebraic models of Poincare embeddings
Let f: P-->W be an embedding of a compact polyhedron in a closed oriented manifold W, let T be a regular neighborhood of P in W and let C:=closure(W-T) be its complement. Then W is the homotopy push-out of a diagram CP.
Bousfield +18 more
core +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
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
The refined transfer, bundle structures and algebraic K-theory
We give new homotopy theoretic criteria for deciding when a fibration with homotopy finite fibers admits a reduction to a fiber bundle with compact topological manifold fibers.
Becker +24 more
core +2 more sources
Open-closed field theories, string topology, and Hochschild homology
In this expository paper we discuss a project regarding the string topology of a manifold, that was inspired by recent work of Moore-Segal, Costello, and Hopkins and Lurie, on "open-closed topological conformal field theories".
Blumberg, Andrew J. +2 more
core +2 more sources
Computing Homotopy Classes for Diagrams. [PDF]
Filakovský M, Vokřínek L.
europepmc +1 more source
Perverse schobers and Orlov equivalences. [PDF]
Koseki N, Ouchi G.
europepmc +1 more source
Augmented Homotopical Algebraic Geometry
We develop the framework for augmented homotopical algebraic geometry. This is an extension of homotopical algebraic geometry, which itself is a homotopification of classical algebraic geometry.
Balchin, Scott
core
ASPECTS OF TOPOLOGICAL APPROACHES FOR DATA SCIENCE. [PDF]
Grbić J, Wu J, Xia K, Wei GW.
europepmc +1 more source

