000			02021nam a2200301Ia 4500
003			OSt
005			20251121112808.0
008			220909b |||||||| |||| 00| 0 eng d
020			_a9780199206520
037			_cTextbook
040			_aCSL _beng _cCSL
041			_aeng
084			_aB6:2 P8 TB _qCSL
100			_aFelix, Yves _eauthor _9852770
245		0	_aAlgebraic Models in Geometry _c/ by Yves Felix, John Oprea and Daniel Tanre
260			_aOxford : _bOxford , _c2008 .
300			_axxi,460p.
490			_aOxford graduate texts in mathematics
500			_aIncluded References 433-450p.; Index 451-460p.
520			_aRational homotopy is a very powerful tool for differential topology and geometry. This text aims to provide graduates and researchers with the tools necessary for the use of rational homotopy in geometry. Algebraic Models in Geometry has been written for topologists who are drawn to geometrical problems amenable to topological methods and also for geometers who are faced with problems requiring topological approaches and thus need a simple and concrete introduction to rational homotopy. This is essentially a book of applications. Geodesics, curvature, embeddings of manifolds, blow-ups, complex and Kähler manifolds, symplectic geometry, torus actions, configurations and arrangements are all covered. The chapters related to these subjects act as an introduction to the topic, a survey, and a guide to the literature. But no matter what the particular subject is, the central theme of the book persists; namely, there is a beautiful connection between geometry and rational homotopy which both serves to solve geometric problems and spur the development of topological methods.
650			_aAlgebraic models. _9852771
650			_aMathematics. _9852772
650			_aGeometry. _9852773
700			_aTanre, Daniel _eco-author. _9852774
700			_aOprea, John _eco-author. _9852775
942			_hB6:2 P8 TB _cTB _2CC _n0
999			_c15576 _d15576