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Euler characteristic
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41	Preface This book is based on notes I wrote when teaching an undergraduate seminar on surfaces at Brown University in[removed]Each week I wrote up notes on a diﬀerent topic. Basically, I told the students about many of Add to Reading List Source URL: www.ams.org Language: English - Date: 2011-10-03 12:00:09 Geometric topology Riemann surfaces Surfaces Differential geometry Manifold Hyperbolic geometry Torus Euler characteristic Space Geometry Topology Mathematics
42	120 Appendix E Gauss-Bonnet theorem in the shape index, curvedness space Add to Reading List Source URL: thesis.library.caltech.edu Language: English - Date: 2012-12-25 21:41:09 Differential geometry Surfaces Geometric topology Riemann surfaces Gaussian curvature Gauss–Bonnet theorem Euler characteristic Curvature Manifold Geometry Mathematical analysis Mathematics
43	September 10, 2009 Dear Professor Langlands, I will try to answer your mathematical questions about orbifolds and the HarerZagier formula. For my own part, I do not know about stacks, knowing them only as being sort of l Add to Reading List Source URL: mathisbeauty.org Language: English - Date: 2012-12-20 13:39:27 Algebraic topology Group theory Differential topology Riemann surfaces Homological algebra Orbifold Fundamental group Euler characteristic Möbius transformation Abstract algebra Topology Geometry
44	BOUNDING THE EQUIVARIANT BETTI NUMBERS AND ´ COMPUTING THE GENERALIZED EULER-POINCARE CHARACTERISTIC OF SYMMETRIC SEMI-ALGEBRAIC SETS SAUGATA BASU Add to Reading List Source URL: math.nyu.edu Language: English - Date: 2014-01-07 18:07:32 Algebra Betti number Semialgebraic set Polynomial Computational complexity theory Real closed field Algebraic geometry Abstract algebra Real algebraic geometry Mathematics
45	PDF Document Add to Reading List Source URL: www-math.mit.edu Language: English - Date: 2004-12-06 14:41:09 Mathematics Homotopy theory Category theory Geometric topology Differential topology Fibration Monodromy Euler characteristic Dehn twist Topology Abstract algebra Algebraic topology
46	FOUNDATIONS OF ALGEBRAIC GEOMETRY CLASSES 43 AND 44 RAVI VAKIL C ONTENTS 1. Flat implies constant Euler characteristic Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2007-06-28 15:31:19 Algebraic geometry Algebraic topology Homological algebra Projective geometry Vector bundles Flat morphism Sheaf Projective space Ample line bundle Abstract algebra Geometry Algebra
47	Chern numbers and Hilbert Modular Varieties Dylan Attwell-Duval Department of Mathematics and Statistics McGill University Montreal, Quebec [removed] Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2011-04-14 11:42:34 Algebraic topology Chern class Hirzebruch–Riemann–Roch theorem Stiefel–Whitney class Splitting principle Surface of general type Pontryagin class Line bundle Euler class Topology Characteristic classes Abstract algebra
48	arXiv:math/0205011v3 [math.GT] 19 Nov[removed]DECOMPOSITION INTO PAIRS-OF-PANTS FOR COMPLEX ALGEBRAIC HYPERSURFACES GRIGORY MIKHALKIN Abstract. It is well-known that a Riemann surface can be decomposed into the so-called p Add to Reading List Source URL: arxiv.org Language: English - Date: 2008-02-03 11:24:36 Algebraic topology Homotopy theory Differential topology Smooth manifolds Lie groups Euler characteristic Symplectic manifold Convex polytope Polyhedron Algebra Topology Mathematics
49	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 Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2011-10-28 14:21:11 Topological graph theory Surfaces Algebraic topology Geometric topology Discrete geometry Regular map Orientability Euler characteristic Platonic solid Topology Geometry Mathematics
50	THREE EXAMPLES OF APPLIED & COMPUTATIONAL HOMOLOGY Robert Ghrist 1 as an appetizer, for which the truncated bibliography serves as a menu for the second course. Add to Reading List Source URL: www.math.upenn.edu Language: English - Date: 2010-12-01 15:33:03 Homology theory Algebraic topology Homology Conley index theory Euler characteristic Morse theory Manifold Topological space Floer homology Topology Mathematics Differential topology

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