Project description
Study investigates smooth 4-manifold topology, curve and surface singularities
The primary goal of the LDTSing project, which has received funding by the Marie Skłodowska-Curie Actions programme, is to leverage techniques from smooth 4-manifolds to study deformations of isolated surface singularities. Specifically, the project will use gauge theoretic invariants and lattice theoretic combinatorial techniques for smoothing rational surface singularities. A conjecture of Kollar regarding a class of rational surface singularities with a unique smoothing will be considered. Another goal is to investigate the properties of the 3D rational homology sphere, such as n-divisibility and torsion.
Objective
The aim of the project is two-fold.
One goal is to employ techniques from smooth 4-dimensional topology in the study of deformations of isolated surface singularities. More specifically the project aims at advancing in the study of smoothings of rational surface singularities by means of gauge-theoretic invariants as well as lattice-theoretic combinatorial techniques. A conjecture of Kollar regarding a class of rational surface singularities with a unique smoothing will be considered. The conjecture has natural symplectic and topological counterparts. The plan consists in proving the topological version and investigating the extent to which this version of the problem can lead to advancements in the original conjecture.
Another primary goal is to investigate properties of the 3-dimensional rational homology sphere group, such as n-divisibility and torsion, via constructions involving rational cuspidal curves in possibly singular homology planes. In this context a first specific goal is producing examples of 3-manifolds which are either Seifert fibered spaces or obtained via Dehn surgery on an algebraic knots which are 2-divisible in the rational homology sphere group. In a similar setting it will be investigated the extent to which rational homology balls bounded by integral surgeries on torus knots can be realized algebraically.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- medical and health sciences clinical medicine surgery
- natural sciences mathematics pure mathematics topology
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions
MAIN PROGRAMME
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H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility
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Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF)
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Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) H2020-MSCA-IF-2020
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Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
59000 Lille
France
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.