Sp(3) structures on 14-dimensional manifolds

Pin Structures on Low–dimensional Manifolds

Pin structures on vector bundles are the natural generalization of Spin structures to the case of nonoriented bundles. Spin(n) is the central Z/2Z extension (or double cover) of SO(n) and Pin−(n) and Pin(n) are two different central extensions of O(n), although they are topologically the same. The obstruction to putting a Spin structure on a bundle ξ (= R → E → B) is w2(ξ) H(B;Z/2Z); for Pin it...

Weak Spin(9)-structures on 16-dimensional Riemannian Manifolds

Algebraic Structures on Hyperkähler Manifolds Algebraic Structures on Hyperkähler Manifolds

Let M be a compact hyperkähler manifold. The hy-perkähler structure equips M with a set R of complex structures parametrized by CP 1 , called the set of induced complex structures. It was known previously that induced complex structures are non-algebraic, except may be a countable set. We prove that a countable set of induced complex structures is algebraic, and this set is dense in R. A more g...

Geometric structures on manifolds

This document is a sample prepared to illustrate the use of the American Mathematical Society’s LTEX document class amsbook and publication-specific variants of that class.

Structures on Manifolds � � � � � � � � � � �

This is an electronic edition of the 1980 notes distributed by Princeton University. The text was typed in T E X by Sheila Newbery, who also scanned the figures. Typos have been corrected (and probably others introduced), but otherwise no attempt has been made to update the contents. Genevieve Walsh compiled the index. Numbers on the right margin correspond to the original edition's page number...