Results 1 to 10 of about 303,113 (41)

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

The Lambrechts-Stanley Model of Configuration Spaces [PDF]

, 2018
We prove the validity over $\mathbb{R}$ of a commutative differential graded algebra model of configuration spaces for simply connected closed smooth manifolds, answering a conjecture of Lambrechts--Stanley. We get as a result that the real homotopy type
Idrissi, Najib
core   +3 more sources

Discrete Morse theory for computing cellular sheaf cohomology [PDF]

, 2015
Sheaves and sheaf cohomology are powerful tools in computational topology, greatly generalizing persistent homology. We develop an algorithm for simplifying the computation of cellular sheaf cohomology via (discrete) Morse-theoretic techniques.
Curry, Justin, Ghrist, Robert, Nanda, Vidit   +2 more
core   +1 more source

Higher Structures in M-Theory [PDF]

, 2019
The key open problem of string theory remains its non-perturbative completion to M-theory. A decisive hint to its inner workings comes from numerous appearances of higher structures in the limits of M-theory that are already understood, such as higher ...
Akrami Y., Aspinwall P. S., Awodey S., Baez J. C., Bagger J., Benini M., Bunke U., Carchedi D., Corfield D., D'Auria R., Danielsson U. H., Duff M. J., Duff M. J., Fiorenza D., Goerss P., Kapustin A., Lambek J., Lane S. Mac, Lawvere F. W., Lawvere W., Leinster T., Nikolaus T., Roytenberg D., Schreiber U., Schreiber U., Shulman M., Shulman M., Siegel W., Spalinski J., The Univalent Foundations Program, van Nieuwenhuizen P., Witten E.   +31 more
core   +2 more sources

Enriched Lie algebras in topology, I [PDF]

arXiv, 2021
The complete enriched Lie algebras constitue the natural extension of graded Lie algebras for connected spaces. Each complete enriched Lie algebra is the rational homotopy Lie algebra of a connected space.
arxiv  

Homotopy colimits of model categories

, 2014
Building on a previous definition of homotopy limit of model categories, we give a definition of homotopy colimit of model categories. Using the complete Segal space model for homotopy theories, we verify that this definition corresponds to the model ...
Bergner, Julia E.
core   +1 more source

Circle valued Morse theory and Novikov homology [PDF]

, 2001
An introduction to circle valued Morse theory and Novikov homology, from an algebraic point of view.Comment: 26 pages. Notes of lecture given at the Summer School on High-dimensional Manifold Topology, ICTP Trieste, May-June 2001. To appear in Vol. 1
Ranicki, Andrew
core   +1 more source

Quantum Exotic PDE's

, 2011
Following the previous works on the A. Pr\'astaro's formulation of algebraic topology of quantum (super) PDE's, it is proved that a canonical Heyting algebra ({\em integral Heyting algebra}) can be associated to any quantum PDE.
Prástaro, Agostino
core   +1 more source

Addendum to "Coarse homology theories" [PDF]

Algebr. Geom. Topol. 3 (2003) 1089-1101, 2003
This article corrects two mistakes in the article "Coarse homology theories" [math.AT/0106183].
arxiv   +1 more source

Corrections to "Homotopy theory of nonsymmetric operads, I, II" [PDF]

Algebr. Geom. Topol. 17 (2017) 3837-3852, 2015
We correct a mistake in the construction of push-outs along free morphisms of algebras over a nonsymmetric operad in arXiv:1101.1634 [math.AT], and we fix the affected results in arXiv:1101.1634 [math.AT] and arXiv:1304.6641 [math.AT].
arxiv   +1 more source