Hola,
¿eres nuevo aquí?

Regístrate gratis y conecta tu empresa con financiación pública, partners y proyectos.

Tengo cuenta

Regístrate

Ver video

FLOERTHINLOWDIM

Financiado

Cerrado

Floer theoretical invariants of low dimensional manifolds

My main research interests are in low dimensional topology, symplectic geometry and gauge theory. Over the past 20 years, these fields has seen an explosion of activity due to its relevance to string theory. As part of my PhD thes... ver más

30/09/2014

KINGS COLLEGE LOND...

100K€

Presupuesto del proyecto: 100K€

Líder del proyecto

KINGS COLLEGE LONDON No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Fecha límite participación Sin fecha límite de participación.

Ver 2 Participantes

Financiación concedida El organismo FP7 notifico la concesión del proyecto el día 2014-09-30 No tenemos la información de la convocatoria

0% 100% 100%

Información adicional privada

No hay información privada compartida para este proyecto. Habla con el coordinador.

2 Participantes

KINGS COLLEGE LONDON

0.00€ | Lider

THE CHANCELLOR MASTERS AND S...

N.D. | Participante

Proyectos interesantes

HFFUNDGRP

Applied Physics

Mathematics

100K€ Cerrado

OXTOP

Applied Physics

Mathematics

1M€ Cerrado

MTM2014-54804-P

Applied Physics

Mathematics

44K€ Cerrado

SingSymp

Applied Physics

Mathematics

1M€ Cerrado

CSG

Applied Physics

Mathematics

1M€ Cerrado

TRANSHOLOMORPHIC

Applied Physics

Mathematics

2M€ Cerrado

Conecta tu I+D

¿Tienes un proyecto y buscas un partner? Gracias a nuestro motor inteligente podemos recomendarte los mejores socios y ponerte en contacto con ellos. Te lo explicamos en este video

Líder del proyecto

KINGS COLLEGE LONDON No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Presupuesto del proyecto 100K€

Fecha límite de participación Sin fecha límite de participación.

Descripción del proyecto My main research interests are in low dimensional topology, symplectic geometry and gauge theory. Over the past 20 years, these fields has seen an explosion of activity due to its relevance to string theory. As part of my PhD thesis, I proved an equivalence between two 3-manifold invariants coming from Floer theory. These are Perutz's Lagrangian matching invariants and Ozsvath and Szabo's Heegaard Floer theory. Although, Heegaard Floer theory has been studied extensively, Lagrangian matching invariants is a relatively recent theory and it remains to be explored more thoroughly. The set-up of Lagrangian matching invariants gives more emphasis on symplectic techniques, and this offers a different approach to Heegaard Floer theory. My goal is to explore these invariants in more depth and bring in new symplectic techniques to the study of 3-manifolds. As a concrete project along these lines, I have been working with Perutz in extending these invariants to bordered three manifolds for which we apply techniques used in the study of Fukaya categories of symplectic manifolds. As a byproduct, we obtain categorical mapping class group actions. Another main part of my research is the study of Fukaya categories of Lefschetz fibration on the Hilbert schemes of the A_n type Milnor fibre, a special type quiver variety. This involves Floer theoretic calculations of non-compact Lagrangian submanifolds. The applications of this research has deep connections with conjectures involving the relation of the Fukaya category to geometric representation theory, in particular to Khovanov's combinatorial link invariants. In addition to the projects described above, I am interested in various structures in low dimensional topology. For example, I proved that every smooth 4-manifold admits a broken Lefschetz fibration. This gives a new calculus of 4-manifolds, which I plan to apply to solve old conjectures about 4-manifolds.

Conecta tu I+D

Entra hoy

¿Olvidé mi contraseña?

Financiación

Empresas

CTIs/Universidades

Proyectos

Investigadores