Topology of 3-manifolds and related topics


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Brendle, S.. Donaldson, S. Huggett et al.

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Moment maps and diffeomorphisms. Asian J. Floer homology groups in Yang-Mills theory. Floer, A.. An instanton invariant for 3-manifolds. Gromov, M.. Pseudoholomorphic curves in symplectic geometry Invent. Calibrated geometries - Harvey, R. Acta Math. Haydys, A.. Generalised Seiberg-Witten equations and hyperkahler geometry Thesis, Gottingen Nonlinear Dirac operators and quaternionic Analysis. Gauge theory, calibrated geometry and harmonic spinors To appear.

syzezocyvida.tkric topology - References about 3-manifolds - MathOverflow

Hong Y-J. Harmonic maps into the moduli spaces of flat connections Ann.

Global Analysis and Geometry : 17 Hohloch, S. Noetal, G. Hypercontact structures and Floer homology Preprint. Jaffe, A. Vortices and monopoles Birkhauser, Boston. Joyce, D.. Riemannian holonomy groups and calibrated geometry In CalabiYau manifolds and related geometries , Universitext, Berrick et al.

Kovalev, A. Twisted connected sums and special Riemannian holonomy. Reine Angew. Asymptotically cylindrical 7-manifolds with holonomy G2, with applications to compact irreducible G2-manifolds To appear. For example, mathematicians, including the applicant, have developed models of how the recombinase and transposase proteins reshuffle the DNA sequence.

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These models can then predict various new features of these interactions -- e. DNA can form very complicated knots. But only a small fraction of all possible very complicated knots appear as DNA knots. Recently I characterized which knots can show up after a recombinase acts on an initial family of DNA knot configurations. In this proposal we will explore this question for a much wider family of initial DNA configurations, and also the analogous question for transposase reactions.

We will also consider unknotting and unlinking DNA molecules. In particular we hope to understand when two DNA knots are related by a crossing change. To answer these questions, we will use cutting-edge techniques from 3-manifold topology. The answers will help us understand these important proteins, the main targets of antibiotics and some anti-cancer drugs, more completely.

Buck, Dr D.

Previous courses on related topics at McGill

Dept of Mathematics. Imperial College London. First Grant Scheme.


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No relevance to Underpinning Sectors. Panel Date. Mathematics Prioritisation Panel. Summary on Grant Application Form. DNA is one of the very few parts of modern molecular biology familiar to almost everyone. Key Findings.

Weinstein manifolds through skeletal topology- Laura Starkston
Topology of 3-manifolds and related topics Topology of 3-manifolds and related topics
Topology of 3-manifolds and related topics Topology of 3-manifolds and related topics
Topology of 3-manifolds and related topics Topology of 3-manifolds and related topics
Topology of 3-manifolds and related topics Topology of 3-manifolds and related topics
Topology of 3-manifolds and related topics Topology of 3-manifolds and related topics
Topology of 3-manifolds and related topics Topology of 3-manifolds and related topics
Topology of 3-manifolds and related topics Topology of 3-manifolds and related topics
Topology of 3-manifolds and related topics Topology of 3-manifolds and related topics

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