CORDIS Project
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This project investigates the topology of three-dimensional contact manifolds using various mathematical techniques. It also explores four-dimensional manifolds with specific geometric structures, aiming to deepen the understanding of their properties and relationships.
THE TOPOLOGY OF CONTACT 3-MANIFOLDS WILL BE INVASTIGATED.
THE MAIN TOOLS ARE SURGERY, MORSE THEORY, HANDLE DECOMPOSITIONS, OPEN BOOK DECOMPOSITIONS, FIBERED KNOTS, CONVEXITY,HEEGAARD FLOER THEORY AND OZSVATH-SZABO INVARIANTS.
ALSO 4-DIMENSIONAL MANIFOLDS WITH GEOMETRIC STRUCTURES SUCH AS STEIN FILLINGS, SYMPLECTIC FILLINGS AND LEFSCHETZ FIBRATIONS ON THEM WILL BE INVOLVED IN THE INVESTIGATION.
KOC UNIVERSITY
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