Cataloguing PL 4-manifolds by gem-complexity
From MaRDI portal
Publication:895059
zbMath1332.57020arXiv1408.0378MaRDI QIDQ895059
Paola Cristofori, Maria Rita Casali
Publication date: 26 November 2015
Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.0378
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (18)
Crystallizations of compact 4-manifolds minimizing combinatorially defined PL-invariants ⋮ Lower bounds for regular genus and gem-complexity of PL 4-manifolds ⋮ Lower bounds for regular genus and gem-complexity of PL 4-manifolds with boundary ⋮ G-degree for singular manifolds ⋮ Kirby diagrams and 5-colored graphs representing compact 4-manifolds ⋮ Gem-induced trisections of compact PL 4-manifolds ⋮ Classifying compact 4-manifolds via generalized regular genus and \(G\)-degree ⋮ Graph calculus and the disconnected-boundary Schwinger-Dyson equations of quartic tensor field theories ⋮ Topology in colored tensor models via crystallization theory ⋮ PL 4-manifolds admitting simple crystallizations: framed links and regular genus ⋮ Compact 4-manifolds admitting special handle decompositions ⋮ Random tensors and quantum gravity ⋮ On reduced complexity of closed piecewise linear 5-manifolds ⋮ On the large N limit of Schwinger-Dyson equations of a rank-3 tensor field theory ⋮ Regular genus and gem-complexity of some mapping tori ⋮ Minimal crystallizations of 3-manifolds with boundary ⋮ Frontiers of sphere recognition in practice ⋮ Four-manifolds with shadow-complexity one
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rigid gems in dimension \(n\)
- Minimal crystallizations of 3-manifolds
- Complexity computation for compact 3-manifolds via crystallizations and Heegaard diagrams
- A census of genus-two 3-manifolds up to 42 coloured tetrahedra
- A note about complexity of Lens spaces
- Simple crystallizations of 4-manifolds
- Exotic smooth structures on small 4-manifolds with odd signatures
- Crystallisation moves
- Handles in graphs and sphere bundles over \(S^ 1\)
- A graph-theoretical representation of PL-manifolds -- a survey on crystallizations
- On the genus of the complex projective plane
- Classification of nonorientable 3-manifolds admitting decompositions into \(\leqq 26\) coloured tetrahedra
- Non-orientable 3-manifolds of complexity up to 7
- Computing Matveev's complexity of non-orientable 3-manifolds via crystallization theory
- Enumeration of non-orientable 3-manifolds using face-pairing graphs and union-find
- Computing Matveev's complexity via crystallization theory: the orientable case
- PL 4-manifolds admitting simple crystallizations: framed links and regular genus
- Reducible smooth structures on 4-manifolds with zero signature
- BLOBS AND FLIPS ON GEMS
- A CATALOGUE OF ORIENTABLE 3-MANIFOLDS TRIANGULATED BY 30 COLORED TETRAHEDRA
- NON-ORIENTABLE 3-MANIFOLDS ADMITTING COLORED TRIANGULATIONS WITH AT MOST 30 TETRAHEDRA
- The Only Genus Zero n-Manifold is S n
- Extending the Concept of Genus to Dimension N
- A combinatorial characterization of 4-dimensional handlebodies
- On the Genus of Smooth 4-Manifolds
- Crystallisations of 2-Fold Branched Coverings of S 3
- Classifying PL 5-Manifolds Up to Regular Genus Seven
- Classifying Pl 5-Manifolds by Regular Genus: The Boundary Case
- Combinatorial Properties of theK3 Surface: Simplicial Blowups and Slicings
- On Simply-Connected 4-Manifolds
- Random Discrete Morse Theory and a New Library of Triangulations
- Algorithmic topology and classification of 3-manifolds
- Monopole equation and the \(\frac{11}{8}\)-conjecture
- A triangulated \(K3\) surface with the minimum number of vertices
This page was built for publication: Cataloguing PL 4-manifolds by gem-complexity