Homology groups for particles on one-connected graphs
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Publication:5282836
DOI10.1063/1.4984309zbMath1368.81078arXiv1606.03414OpenAlexW2964057824MaRDI QIDQ5282836
Publication date: 17 July 2017
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.03414
Spectral sequences, hypercohomology (18G40) General and philosophical questions in quantum theory (81P05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Motivic cohomology; motivic homotopy theory (14F42) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
Related Items
Edge stabilization in the homology of graph braid groups, Many-Particle Quantum Graphs: A Review, Stability phenomena in the homology of tree braid groups, The homology of configuration spaces of trees with loops, Non-abelian quantum statistics on graphs, Geometric presentations of braid groups for particles on a graph, Subdivisional spaces and graph braid groups, Functorial invariants of trees and their cones, Asymptotic homology of graph braid groups, Instantons and Berry’s connections on quantum graph
Cites Work
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- Topology of configuration space of two particles on a graph. II.
- Topology of configuration space of two particles on a graph. I.
- Morse theory for cell complexes
- Topological complexity of motion planning
- Geometric phases in classical and quantum mechanics
- Instabilities of robot motion
- Characteristics of graph braid groups
- On the cohomology rings of tree braid groups.
- \(n\)-particle quantum statistics on graphs
- Discrete Morse theory and graph braid groups.
- Estimates for homological dimension of configuration spaces of graphs
- Quantum statistics on graphs
- Topological complexity of configuration spaces
- SU(n) bundles over the configuration space of three identical particles moving on R3
- Remarks on non-standard statistics
- Indistinguishability for quantum particles: spin, statistics and the geometric phase
- Configurations of points
- The geometry of point particles
- Discrete Morse functions for graph configuration spaces
- Quantum graphs with singular two-particle interactions
- The Theory of Quantized Fields. I