Low-dimensional topology in Oxford

Project Information

OXTOP

Grant agreement ID: 674978

DOI

10.3030/674978

Project closed

EC signature date 13 January 2016

Start date 1 May 2016

End date 31 October 2021

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 497 422,00

EU contribution

€ 1 497 422,00

Coordinated by

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
United Kingdom

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Monographic books (1)

String-Math 2016

Author(s): Andre Henriques
Published in: String-Math 2016, 2018, ISBN 9781470447700
Publisher: American Mathematical Society
DOI: 10.1090/pspum/098/01749

Peer reviewed articles (26)

Distinguishing slice disks using knot Floer homology

Author(s): András Juhász, Ian Zemke
Published in: Selecta Mathematica, Issue 26/1, 2020, ISSN 1022-1824
Publisher: Birkhauser Verlag
DOI: 10.1007/s00029-019-0531-6

A combinatorial description of the centralizeralgebras connected to the Links–Gould invariant

Author(s): Cristina Ana-Maria Anghel
Published in: Algebraic & Geometric Topology, Issue 21/3, 2021, Page(s) 1553-1593, ISSN 1472-2747
Publisher: Geometry & Topology Publications
DOI: 10.2140/agt.2021.21.1553

Heegaard Floer homology and concordance bounds on the Thurston norm

Author(s): Daniele Celoria, Marco Golla
Published in: Transactions of the American Mathematical Society, Issue 373/1, 2020, Page(s) 295-318, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/7906

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

Author(s): Agnese Barbensi, Daniele Celoria, Heather A. Harrington, Andrzej Stasiak, Dorothy Buck
Published in: Science Advances, Issue 6/9, 2020, Page(s) eaay1458, ISSN 2375-2548
Publisher: Science Advances
DOI: 10.1126/sciadv.aay1458

Relative (pre)-modular categories from special linear Lie superalgebras

Author(s): Cristina Ana-Maria Anghel, Nathan Geer, Bertrand Patureau-Mirand
Published in: Journal of Algebra, Issue 586, 2021, Page(s) 479-525, ISSN 0021-8693
Publisher: Academic Press
DOI: 10.1016/j.jalgebra.2021.06.035

Non-loose negative torus knots

Author(s): Irena Matkovic
Published in: Quantum Topology, 2021, ISSN 1664-073X
Publisher: European Mathematical Society

Connected Floer homology of covering involutions

Author(s): Antonio Alfieri, Sungkyung Kang, András I. Stipsicz
Published in: Mathematische Annalen, Issue 377/3-4, 2020, Page(s) 1427-1452, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-020-01992-9

Loop Groups and Diffeomorphism Groups of the Circle as Colimits

Author(s): André Henriques
Published in: Communications in Mathematical Physics, Issue 366/2, 2019, Page(s) 537-565, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-019-03394-8

Contact handles, duality, and sutured Floer homology

Author(s): András Juhász, Ian Zemke
Published in: Geometry & Topology, Issue 24/1, 2020, Page(s) 179-307, ISSN 1465-3060
Publisher: University of Warwick
DOI: 10.2140/gt.2020.24.179

Naturality and Mapping Class Groups in Heegaard Floer Homology

Author(s): András Juhász, Dylan Thurston, Ian Zemke
Published in: Memoirs of the American Mathematical Society, Issue 273/1338, 2021, ISSN 0065-9266
Publisher: American Mathematical Society
DOI: 10.1090/memo/1338

Transverse invariants and exotic surfaces in the 4-ball

Author(s): Andras Juhasz, Maggie Miller, Ian Zemke
Published in: Geometry and Topology, 2021, ISSN 1465-3060
Publisher: University of Warwick

The Reidemeister graph is a complete knot invariant

Author(s): Agnese Barbensi, Daniele Celoria
Published in: Algebraic & Geometric Topology, Issue 20/2, 2020, Page(s) 643-698, ISSN 1472-2747
Publisher: Geometry & Topology Publications
DOI: 10.2140/agt.2020.20.643

Concordance surgery and the Ozsvath--Szabo 4-manifold invariant

Author(s): Andras Juhasz, Ian Zemke
Published in: Journal of the European Mathematical Society, 2020, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House

Planar algebras in braided tensor categories

Author(s): Andre Henriques, David Penneys, Jared Tener
Published in: Memoirs of the American Mathematical Society, 2021, ISSN 0065-9266
Publisher: American Mathematical Society

Computing cobordism maps in link Floer homology and the reduced Khovanov TQFT

Author(s): András Juhász, Marco Marengon
Published in: Selecta Mathematica, Issue 24/2, 2018, Page(s) 1315-1390, ISSN 1022-1824
Publisher: Birkhauser Verlag
DOI: 10.1007/s00029-017-0368-9

Defining and classifying TQFTs via surgery

Author(s): András Juhász
Published in: Quantum Topology, Issue 9/2, 2018, Page(s) 229-321, ISSN 1663-487X
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/qt/108

On concordances in 3-manifolds

Author(s): Daniele Celoria
Published in: Journal of Topology, Issue 11/1, 2018, Page(s) 180-200, ISSN 1753-8416
Publisher: Oxford University Press
DOI: 10.1112/topo.12051

Handle decompositions of rational homology balls and Casson–Gordon invariants

Author(s): Paolo Aceto, Marco Golla, Ana G. Lecuona
Published in: Proceedings of the American Mathematical Society, Issue 146/9, 2018, Page(s) 4059-4072, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/14035

A note on cobordisms of algebraic knots

Author(s): József Bodnár, Daniele Celoria, Marco Golla
Published in: Algebraic & Geometric Topology, Issue 17/4, 2017, Page(s) 2543-2564, ISSN 1472-2747
Publisher: Geometry & Topology Publications
DOI: 10.2140/agt.2017.17.2543

Spectral order for contact manifolds with convex boundary

Author(s): Andras Juhasz, Sungkyung Kang
Published in: Algebraic and Geometric Topology, Issue 18/6, 2018, Page(s) 3315-3338, ISSN 1472-2747
Publisher: Geometry & Topology Publications

Knot cobordisms, bridge index, and torsion in Floer homology

Author(s): András Juhász, Maggie Miller, Ian Zemke
Published in: Journal of Topology, Issue 13/4, 2020, Page(s) 1701-1724, ISSN 1753-8416
Publisher: Oxford University Press
DOI: 10.1112/topo.12170

Stably slice disks of links

Author(s): Anthony Conway, Matthias Nagel
Published in: Journal of Topology, Issue 13/3, 2020, Page(s) 1261-1301, ISSN 1753-8416
Publisher: Oxford University Press
DOI: 10.1112/topo.12154

A Discrete Morse Perspective on Knot Projections and a Generalised Clock Theorem

Author(s): Daniele Celoria, Naya Yerolemou
Published in: The Electronic Journal of Combinatorics, Issue 28/3, 2021, ISSN 1077-8926
Publisher: Electronic Journal of Combinatorics
DOI: 10.37236/9979

Rational cobordisms and integral homology

Author(s): Paolo Aceto, Daniele Celoria, JungHwan Park
Published in: Compositio Mathematica, Issue 156/9, 2020, Page(s) 1825-1845, ISSN 0010-437X
Publisher: London Mathematical Society
DOI: 10.1112/s0010437x20007320

Branched covers bounding rational homology balls

Author(s): Paolo Aceto, Jeffrey Meier, Allison N. Miller, Maggie Miller, JungHwan Park, Andrs I. Stipsicz
Published in: Algebraic and Geometric Topology, 2021, ISSN 1472-2747
Publisher: Geometry & Topology Publications

Functoriality of the EH class and the LOSSinvariant under Lagrangian concordances

Author(s): Marco Golla, András Juhász
Published in: Algebraic & Geometric Topology, Issue 19/7, 2019, Page(s) 3683-3699, ISSN 1472-2747
Publisher: Geometry & Topology Publications
DOI: 10.2140/agt.2019.19.3683

Other (2)

Extended TQFTs and Algebraic Geometry

Author(s): Peter Banks
Published in: arxiv.org, 2020
Publisher: arxiv.org

Stabilization distance bounds from link Floer homology

Author(s): Andras Juhasz, Ian Zemke
Published in: arxiv.org, 2018
Publisher: arxiv.org

Conference proceedings (2)

The classification of chiral WZW models by H^4_+(BG,Z)

Author(s): Andre Henriques
Published in: Contemporary Mathematics, Issue 695, 2017, Page(s) 99-121, ISBN 978-1-4704-2666-8
Publisher: American Mathematical Society

Conformal nets are factorization algebras

Author(s): Henriques, Andre
Published in: Proceedings of Symposia in Pure Mathematics, Issue 98, 2018, Page(s) 229-239, ISBN 978-1-4704-3515-8
Publisher: Amer. Math. Soc.

Thesis and dissertations (1)

On the Rozansky–Witten TQFT

Author(s): Peter Banks
Published in: 2021
Publisher: Oxford University Research Archive