000			01747nam a2200241 4500
005			20250611151758.0
008			250611b |||||||| |||| 00| 0 eng d
020			_a9781009220576
040			_aCSL _cCSL
084			_aB316 R3 NBHM _qCSL
100			_aJuhasz, Andas. _eauthor. _9812620
245			_aDifferential and low-dimensional topology
260			_aCambridge; _bCambridge university press, _c2023.
300			_aviii, 224 p.; _c23 cm.
490			_aLondon mathematical society student texts; _v104
500			_aIncludes bibliography and index.
520			_aThe new student in differential and low-dimensional topology is faced with a bewildering array of tools and loosely connected theories. This short book presents the essential parts of each, enabling the reader to become 'literate' in the field and begin research as quickly as possible. The only prerequisite assumed is an undergraduate algebraic topology course. The first half of the text reviews basic notions of differential topology and culminates with the classification of exotic seven-spheres. It then dives into dimension three and knot theory. There then follows an introduction to Heegaard Floer homology, a powerful collection of modern invariants of three- and four-manifolds, and of knots, that has not before appeared in an introductory textbook. The book concludes with a glimpse of four-manifold theory. Students will find it an exhilarating and authoritative guide to a broad swathe of the most important topics in modern topology.
650			_2 Higher-Dimensional Manifolds
650			_2low-dimensional topology
650			_2knot theory
650			_2Heegaard Floer homology
942			_2CC _n0 _cTEXL _hB316 R3 NBHM
999			_c1431616 _d1431616