Results 71 to 80 of about 3,998 (234)

Scissors congruence K$K$‐theory for equivariant manifolds

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We introduce a scissors congruence K$K$‐theory spectrum that lifts the equivariant scissors congruence groups for compact G$G$‐manifolds with boundary, and we show that on π0$\pi _0$, this is the source of a spectrum‐level lift of the Burnside ring‐valued equivariant Euler characteristic of a compact G$G$‐manifold.
Mona Merling, Ming Ng, Julia Semikina, Alba Sendón Blanco, Lucas Williams   +4 more
wiley   +1 more source

Pirashvili–Richter-type theorems for the reflexive and dihedral homology theories

Comptes Rendus. Mathématique
Reflexive homology and dihedral homology are the homology theories associated to the reflexive and dihedral crossed simplicial groups respectively. The former has recently been shown to capture interesting information about $C_2$-equivariant homotopy ...
Graves, Daniel
doaj   +1 more source

A Family of Complex Nilmanifolds with in finitely Many Real Homotopy Types

Complex Manifolds, 2018
We find a one-parameter family of non-isomorphic nilpotent Lie algebras ga, with a > [0,∞), of real dimension eight with (strongly non-nilpotent) complex structures.
Latorre Adela, Ugarte Luis, Villacampa Raquel   +2 more
doaj   +1 more source

Topological Interactions Between Homotopy and Dehn Twist Varieties

Mathematics
The topological Dehn twists have several applications in mathematical sciences as well as in physical sciences. The interplay between homotopy theory and Dehn twists exposes a rich set of properties.
Susmit Bagchi
doaj   +1 more source

Does Identity Make Sense? [PDF]

Manuscrito
In this paper we present novel conceptions of identity arising in and motivated by a recently emerged branch of mathematical logic, namely, Homotopy Type theory (HoTT).
Andrei Rodin
doaj   +1 more source

On the basics of neutrosophic homotopy theory [PDF]

Neutrosophic Sets and Systems
In this paper, we introduce and study the concept of neutrosophic homotopic functions using topological properties. Also, we obtain some properties of neutrosophic homotopic functions and concept of neutrosophic homotopy.
S. Jafari, N. Rajesh, Giorgio Nordo
doaj   +1 more source

Enhanced homotopy theory for period integrals of smooth projective hypersurfaces [PDF]

, 2016
Jae-Suk Park, Jeehoon Park
openalex   +1 more source

Learning High-Dimensional Chaos Based on an Echo State Network with Homotopy Transformation

Mathematics
Learning high-dimensional chaos is a complex and challenging problem because of its initial value-sensitive dependence. Based on an echo state network (ESN), we introduce homotopy transformation in topological theory to learn high-dimensional chaos.
Shikun Wang, Fengjie Geng, Yuting Li, Hongjie Liu   +3 more
doaj   +1 more source

A Note on Finite-to-Infinite Extensions and Homotopy Invariance of Digraph Brown Functors

Axioms
This paper develops extension theory for Brown functors in directed graph homotopy theory. We establish a systematic method for extending Brown functors from finite directed graphs to arbitrary directed graphs using inverse limits over finite subdigraphs.
Hsuan-Yi Liao, Byungdo Park
doaj   +1 more source

Motivic and real étale stable homotopy theory [PDF]

, 2018
Tom Bachmann
openalex   +1 more source