Compact Manifolds with Special Holonomy

Front Cover
Oxford University Press, 2000 - Mathematics - 436 pages
0 Reviews
This title starts with an introduction to connections and holonomy groups, and to Riemannian, complex and Kahler geometry. Then the Calabi conjecture is proved and used to deduce the existence of compact manifolds with holonomy SU(m) (Calabi-Yau manifolds) and Sp(m) (hyperk ahler manifold s). These are constructed and studied using complex algebraic geometry. The second half of the book is devoted to constructions of compact 7- and 8-manifolds with the exceptional holonomy groups 92 and Spin (7). Many new examples are given, and their Betti numbers calculated. The first known examples of these manifolds were discovered by the author i n 1993-5. This is the first book to be writtenabout them, and contains much previously unpublished material which significantly improves the origin al constructions. geometry, some graduate students, and also mathematical physicists working in string theory.
  

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

I
1
II
4
III
7
IV
13
V
16
VI
20
VIII
25
IX
29
LXIX
203
LXX
204
LXXI
208
LXXII
210
LXXIII
215
LXXIV
219
LXXV
225
LXXVI
228

X
32
XI
33
XII
38
XIII
42
XV
46
XVI
50
XVII
55
XVIII
59
XIX
64
XX
68
XXI
71
XXII
72
XXIII
75
XXIV
77
XXV
78
XXVI
80
XXVII
81
XXVIII
82
XXIX
86
XXX
90
XXXI
94
XXXII
98
XXXIII
99
XXXIV
101
XXXV
105
XXXVI
108
XXXVII
115
XXXVIII
117
XXXIX
119
XLI
121
XLII
122
XLIII
123
XLIV
126
XLV
128
XLVI
132
XLVII
136
XLVIII
139
XLIX
142
L
144
LI
146
LII
148
LIII
149
LIV
153
LV
155
LVI
162
LVII
167
LVIII
169
LIX
172
LX
173
LXI
175
LXII
178
LXIII
182
LXIV
186
LXV
188
LXVI
196
LXVII
199
LXVIII
201
LXXVII
232
LXXVIII
235
LXXIX
242
LXXX
245
LXXXI
247
LXXXII
251
LXXXIII
254
LXXXIV
259
LXXXV
261
LXXXVI
264
LXXXVII
268
LXXXVIII
270
LXXXIX
271
XC
274
XCI
278
XCII
280
XCIII
284
XCIV
294
XCV
297
XCVI
299
XCVII
303
XCVIII
306
C
309
CI
312
CII
314
CIII
315
CIV
326
CV
329
CVI
334
CVII
338
CVIII
341
CIX
342
CX
346
CXI
349
CXII
352
CXIII
355
CXIV
360
CXV
362
CXVI
366
CXVII
368
CXVIII
371
CXIX
373
CXX
380
CXXI
386
CXXII
392
CXXIII
393
CXXIV
395
CXXV
401
CXXVI
406
CXXVII
408
CXXVIII
411
CXXIX
413
CXXX
416
CXXXI
419
CXXXII
432
Copyright

Common terms and phrases

References to this book

All Book Search results »

About the author (2000)

University lecturer and tutorial fellow at Lincoln College, Oxford Dr D Joyce Lincoln College Oxford OX1 3DR Tel. 01865 279800 Email: dominic.joyce@lincoln.ox.ac.uk

Bibliographic information