Results 31 to 40 of about 6,556,269 (259)
Gauge Enhancement of Super M-Branes Via Parametrized Stable Homotopy Theory [PDF]
Communications in Mathematical Physics, 2018 A key open problem in M-theory is to explain the mechanism of “gauge enhancement” through which M-branes exhibit the nonabelian gauge degrees of freedom seen perturbatively in the limit of 10d string theory.
V. Braunack-Mayer, H. Sati, U. Schreiber
semanticscholar +1 more source
Rigidity and exotic models for the K-local stable homotopy category [PDF]
, 2007 Can the model structure of a stable model category be recovered from the triangulated structure of its homotopy category? This paper introduces a new positive example for this, namely the K-local stable homotopy at the prime 2.
Roitzheim, C., Roitzheim, Constanze
core +1 more source
Perfection in motivic homotopy theory [PDF]
Proceedings of the London Mathematical Society, 2018 We prove a topological invariance statement for the Morel–Voevodsky motivic homotopy category up to inverting exponential characteristics of residue fields.
E. Elmanto, Adeel A. Khan
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Homotopy theory of bicomplexes [PDF]
Journal of Pure and Applied Algebra, 2019 We define two model structures on the category of bicomplexes concentrated in the right half plane. The first model structure has weak equivalences detected by the totalisation functor. The second model structure's weak equivalences are detected by the $E^2$-term of the spectral sequence associated to the filtration of the total complex by the ...
Muro Jiménez, Fernando +1 more
openaire +5 more sources
On Relative Homotopy Groups of Modules
International Journal of Mathematics and Mathematical Sciences, 2007 In his book “Homotopy Theory and Duality,” Peter Hilton described the concepts of relative homotopy theory in module theory. We study in this paper the possibility of parallel concepts of fibration and cofibration in module theory, analogous to the ...
C. Joanna Su
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Complex Manifolds, 2022 We give an exposition of Sullivan’s theorem on realizing rational homotopy types by closed smooth manifolds, including a discussion of the necessary rational homotopy and surgery theory, adapted to the realization problem for almost complex manifolds ...
Milivojević Aleksandar
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A simplicial approach to stratified homotopy theory [PDF]
Transactions of the American Mathematical Society, 2018 In this article we consider the homotopy theory of stratified spaces through a simplicial point of view. We first consider a model category of filtered simplicial sets over some fixed poset $P$, and show that it is a simplicial combinatorial model ...
Sylvain Douteau
semanticscholar +1 more source
Algebraic Theories in Homotopy Theory [PDF]
The Annals of Mathematics, 2002 An algebraic theory $T$ is a category with objects $t_0,t_2...$ such that for each $n$ the object $t_n$ is an $n$-fold categorical product of $t_1$. A strict $T$-algebra is a product preserving functor $A: T\to Spaces$. Lawvere showed that for a suitable choice of T giving such an algebra amounts to providing the space $A(t_1)$ with a familiar ...
openaire +3 more sources
GLOBAL ACTIONS AND VECTOR $K$-THEORY
Forum of Mathematics, Sigma, 2020 Purely algebraic objects like abstract groups, coset spaces, and G-modules do not have a notion of hole as do analytical and topological objects. However, equipping an algebraic object with a global action reveals holes in it and thanks to the homotopy ...
ANTHONY BAK, ANURADHA S. GARGE
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Homotopy theory of algebraic quantum field theories [PDF]
Letters in Mathematical Physics, 2018 Motivated by gauge theory, we develop a general framework for chain complex-valued algebraic quantum field theories. Building upon our recent operadic approach to this subject, we show that the category of such theories carries a canonical model ...
M. Benini +2 more
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