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Relative homology
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11	This non-technical description of my research mostly discusses my work in symplectic geometry and recent work in string topology. It also includes a short section on my secondary field, financial mathematics. I only cite Add to Reading List Source URL: www.math.umass.edu Language: English - Date: 2008-07-16 09:50:53 Symplectic topology Floer homology Symplectic geometry Contact geometry Symplectic manifold Gromov–Witten invariant Clifford Taubes Manifold Relative contact homology Differential topology Topology Theoretical physics
12	Invariants of Legendrian Knots and Links Lenny Ng Add to Reading List Source URL: www.math.uga.edu Language: English - Date: 2008-01-20 15:31:25 Abstract algebra Legendrian knot Relative contact homology Contact geometry Thurston–Bennequin number Knot Manifold Unknot Link Knot theory Topology Differential topology
13	C:/Users/bhadmin/Dropbox/Jobs13-14/Application Materials/Drafts/Research Statement/MBHenry_Research_Statement.dvi Add to Reading List Source URL: www.mbhenry.com Language: English - Date: 2013-10-18 14:02:00 Differential topology Legendrian knot Transverse knot Contact geometry Knot invariant Invariant Relative contact homology Knot theory Topology Abstract algebra
14	Homotopy theory begins with the homotopy groups πn (X) , which are the natural higher-dimensional analogs of the fundamental group. These higher homotopy groups have certain formal similarities with homology groups. For example, πn (X) turns out to be always abelian for n ≥ 2 , and there are relative homotopy groups fitting into a long exact sequence just like the long exact sequence of homology groups. Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2013-06-04 09:21:10 Algebraic topology Homotopy group Homotopy Fundamental group Eilenberg–MacLane space CW complex H-space Contractible space Path Topology Homotopy theory Abstract algebra
15	You Could Have Invented Spectral Sequences Add to Reading List Source URL: www.ams.org Language: English - Date: 2005-12-08 16:04:57 Homology theory Spectral sequence Relative homology Homology Chain complex CW complex Simplicial homology Serre spectral sequence Eilenberg–Moore spectral sequence Abstract algebra Topology Algebraic topology
16	PDF Document Add to Reading List Source URL: www.math.duke.edu Language: English - Date: 2010-02-12 13:06:26 Differential topology Legendrian knot Transverse knot Contact geometry Lenhard Ng Floer homology Relative contact homology Knot Invertible knot Knot theory Topology Geometric topology

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