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2024

Journal Article

GridPyM: a Python module to handle grid diagrams

Barbensi, Agnese and Celoria, Daniele (2024). GridPyM: a Python module to handle grid diagrams. Journal of Software for Algebra and Geometry, 14 (1), 31-39. doi: 10.2140/jsag.2024.14.31

GridPyM: a Python module to handle grid diagrams

2024

Journal Article

MONOTONE COHOMOLOGIES AND ORIENTED MATCHINGS

Caputi, Luigi, Celoria, Daniele and Collari, Carlo (2024). MONOTONE COHOMOLOGIES AND ORIENTED MATCHINGS. Homology, Homotopy and Applications, 26 (2), 137-161. doi: 10.4310/HHA.2024.v26.n2.a7

MONOTONE COHOMOLOGIES AND ORIENTED MATCHINGS

2023

Journal Article

From the Mayer-Vietoris spectral sequence to überhomology

Caputi, Luigi, Celoria, Daniele and Collari, Carlo (2023). From the Mayer-Vietoris spectral sequence to überhomology. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. doi: 10.1017/prm.2023.104

From the Mayer-Vietoris spectral sequence to überhomology

2023

Journal Article

Categorifying connected domination via graph überhomology

Caputi, Luigi, Celoria, Daniele and Collari, Carlo (2023). Categorifying connected domination via graph überhomology. Journal of Pure and Applied Algebra, 227 (9) 107381, 107381. doi: 10.1016/j.jpaa.2023.107381

Categorifying connected domination via graph überhomology

2023

Journal Article

A note on grid homology in lens spaces: coefficients and computations

Celoria, Daniele (2023). A note on grid homology in lens spaces: coefficients and computations. Glasgow Mathematical Journal, 65 (2), 457-479. doi: 10.1017/S0017089523000058

A note on grid homology in lens spaces: coefficients and computations

2023

Journal Article

Filtered simplicial homology, graph dissimilarity and überhomology

Celoria, Daniele (2023). Filtered simplicial homology, graph dissimilarity and überhomology. Journal of Algebraic Combinatorics, 57 (3), 859-904. doi: 10.1007/s10801-022-01205-3

Filtered simplicial homology, graph dissimilarity and überhomology

2022

Journal Article

Filtered matchings and simplicial complexes

Celoria, Daniele and Yerolemou, Naya (2022). Filtered matchings and simplicial complexes. Australasian Journal of Combinatorics, 82 (3), 335-352.

Filtered matchings and simplicial complexes

2022

Journal Article

A statistical approach to knot confinement via persistent homology

Celoria, Daniele and Mahler, Barbara I. (2022). A statistical approach to knot confinement via persistent homology. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 478 (2261), 20210709. doi: 10.1098/rspa.2021.0709

A statistical approach to knot confinement via persistent homology

2021

Journal Article

Upsilon invariants from cyclic branched covers

Alfieri, Antonio, Celoria, Daniele and Stipsicz, András (2021). Upsilon invariants from cyclic branched covers. Studia Scientiarum Mathematicarum Hungarica, 58 (4), 457-488. doi: 10.1556/012.2021.01515

Upsilon invariants from cyclic branched covers

2021

Journal Article

A discrete morse perspective on knot projections and a generalised clock theorem

Celoria, Daniele and Yerolemou, Naya (2021). A discrete morse perspective on knot projections and a generalised clock theorem. Electronic Journal of Combinatorics, 28 (3). doi: 10.37236/9979

A discrete morse perspective on knot projections and a generalised clock theorem

2020

Journal Article

The Reidemeister graph is a complete knot invariant

Barbensi, Agnese and Celoria, Daniele (2020). The Reidemeister graph is a complete knot invariant. Algebraic and Geometric Topology, 20 (2), 643-698. doi: 10.2140/agt.2020.20.643

The Reidemeister graph is a complete knot invariant

2020

Journal Article

Grid diagrams as tools to investigate knot spaces and topoisomerase-mediated simplification of DNA topology

Barbensi, Agnese, Celoria, Daniele, Harrington, Heather A., Stasiak, Andrzej and Buck, Dorothy (2020). Grid diagrams as tools to investigate knot spaces and topoisomerase-mediated simplification of DNA topology. Science Advances, 6 (9) eaay1458, 1-8. doi: 10.1126/sciadv.aay1458

Grid diagrams as tools to investigate knot spaces and topoisomerase-mediated simplification of DNA topology

2020

Journal Article

Heegaard floer homology and concordance bounds on the Thurston norm

Celoria, Daniele, Golla, Marco and Levine, Adam Simon (2020). Heegaard floer homology and concordance bounds on the Thurston norm. Transactions of the American Mathematical Society, 373 (1), 295-318. doi: 10.1090/tran/7906

Heegaard floer homology and concordance bounds on the Thurston norm

2020

Journal Article

Rational cobordisms and integral homology

Aceto, Paolo, Celoria, Daniele and Park, Junghwan (2020). Rational cobordisms and integral homology. Compositio Mathematica, 1825-1845. doi: 10.1112/S0010437X20007320

Rational cobordisms and integral homology

2018

Journal Article

On concordances in 3-manifolds

Celoria, Daniele (2018). On concordances in 3-manifolds. Journal of Topology, 11 (1), 180-200. doi: 10.1112/topo.12051

On concordances in 3-manifolds

2017

Journal Article

A note on cobordisms of algebraic knots

Bodnár, József, Celoria, Daniele and Golla, Marco (2017). A note on cobordisms of algebraic knots. Algebraic and Geometric Topology, 17 (4), 2543-2564. doi: 10.2140/agt.2017.17.2543

A note on cobordisms of algebraic knots

2015

Journal Article

Cuspidal curves and Heegaard Floer homology

Bodnár, József, Celoria, Daniele and Golla, Marco (2015). Cuspidal curves and Heegaard Floer homology. Proceedings of the London Mathematical Society, 112 (3), 512-548. doi: 10.1112/plms/pdv074

Cuspidal curves and Heegaard Floer homology