Visualization of the Genus of Knots Arjeh M. Cohen† Jarke J. van Wijk∗ Dept. Mathematics and Computer Science

Source URL: www.win.tue.nl

• Geometric topology
• Seifert surface
• Torus knot
• Figure-eight knot
• Alexander polynomial
• Cinquefoil knot
• Genus
• Knot
• Whitehead link
• Knot theory
• Topology
• Abstract algebra

HOMOLOGICAL STABILITY FOR THE MAPPING CLASS GROUPS OF NON-ORIENTABLE SURFACES NATHALIE WAHL Abstract. We prove that the homology of the mapping class groups of non-orientable surfaces stabilizes with the genus of the sur

Source URL: www.math.ku.dk

• Algebraic topology
• Differential topology
• Homeomorphisms
• Orientability
• Mapping class group
• Degree of a continuous mapping
• Cobordism
• Genus
• 2-sided
• Topology
• Geometric topology
• Surfaces

Doubles of Klein surfaces Antonio F. Costa, Wendy Hall, David Singerman January 25, 2011 1

Source URL: eprints.soton.ac.uk

• Geometric topology
• Mathematics
• Epimorphism
• Klein bottle
• Fundamental polygon
• Orientability
• Genus
• Möbius strip
• Euler characteristic
• Topology
• Geometry
• Surfaces

COUNTING CURVES ON RATIONAL SURFACES RAVI VAKIL Abstract. In [CH3], Caporaso and Harris derive recursive formulas counting nodal plane curves of degree d and geometric genus g in the plane (through the appropriate number

Source URL: math.stanford.edu

• String theory
• Symplectic topology
• Complex manifolds
• Algebraic topology
• Stable map
• Gromov–Witten invariant
• Differential geometry of surfaces
• Riemann–Hurwitz formula
• Canonical bundle
• Algebraic geometry
• Geometry
• Abstract algebra

HUGO PARLIER, University of Toronto, Toronto, Canada Curves on surfaces with large topology Surfaces of large genus are intriguing objects. Their geometry has been studied by finding geometric properties that hold for al

Source URL: cms.math.ca

LOCALISING DEHN’S LEMMA AND THE LOOP THEOREM IN 3-MANIFOLDS I. R AITCHISON AND J. HYAM RUBINSTEIN Abstract. In this paper, we give a new proof of Dehn’s lemma and the loop theorem. This is a fundamental tool in the t

Source URL: www.ms.unimelb.edu.au

• Surfaces
• Haken manifold
• Incompressible surface
• Orientability
• Manifold
• Genus
• 2-sided
• Real projective plane
• Differentiable manifold
• Topology
• Geometric topology
• 3-manifolds

Map Gaps Thomas W. Tucker Outline A “gap” is a surface (orientable, genus; nonorientable, Euler characteristic) that fails to have some property, such as the

Source URL: www.fields.utoronto.ca

• Topological graph theory
• Surfaces
• Algebraic topology
• Geometric topology
• Discrete geometry
• Regular map
• Orientability
• Euler characteristic
• Platonic solid
• Topology
• Geometry
• Mathematics

Pacific Journal of Mathematics ON SLOPE GENERA OF KNOTTED TORI IN 4-SPACE

Source URL: www.its.caltech.edu

• Geometric topology
• Surfaces
• Algebraic topology
• Knot theory
• Torus
• Mapping class group
• Genus
• Immersion
• Alexander polynomial
• Topology
• Geometry
• Mathematics

An Introduction to Moduli Spaces of Riemann Surfaces Owen Gwillian Motivation Let’s write Sg for the genus-g closed oriented surface. If we cut out n open disks, we get a compact surface with boundary that we will deno

Source URL: math.berkeley.edu

• Geometric topology
• Riemann surfaces
• Differential topology
• Differential geometry
• Hyperbolic geometry
• Complex manifold
• Mapping class group
• Manifold
• Diffeomorphism
• Geometry
• Topology
• Space

Abstract The 4-genus of a knot in S3 is an important measure of complexity, related to the unknotting number. A fundamental result used to study the 4-genus and related invariants of homology classes is the Thom conjectu

Source URL: etd.ncsi.iisc.ernet.in

• Geometric topology
• Symplectic topology
• Hamiltonian mechanics
• Symplectic geometry
• Contact geometry
• Symplectic manifold
• Thom conjecture
• Manifold
• Symplectic filling
• Topology
• Differential topology
• Theoretical physics