Contact
Cum să cumpăr
Livrare
Consilier de cumpărături
engleză
137 b
Până la 30 de zile pentru returnare
Clienții au cumpărat de asemenea
/
Carte broșată
144.65
lei
AT-theory was introduced by A. Grothendieck in his formulation of the Riemann- Roch theorem (cf. Borel and Serre [2]). For each projective algebraic variety, Grothendieck constructed a group from the category of coherent algebraic sheaves, and showed that it had many nice properties. Atiyah and Hirzebruch [3] con sidered a topological analog defined for any compact space X, a group K{X) constructed from the category of vector bundles on X. It is this ''topological J^-theory" that this book will study. Topological ^-theory has become an important tool in topology. Using- theory, Adams and Atiyah were able to give a simple proof that the only spheres which can be provided with //-space structures are S^, S^ and S'^. Moreover, it is possible to derive a substantial part of stable homotopy theory from A^-theory (cf. J. F. Adams [2]). Further applications to analysis and algebra are found in the work of Atiyah-Singer [2], Bass [1], Quillen [1], and others. A key factor in these applications is Bott periodicity (Bott [2]). The purpose of this book is to provide advanced students and mathematicians in other fields with the fundamental material in this subject. In addition, several applications of the type described above are included. In general we have tried to make this book self-contained, beginning with elementary concepts wherever possible; however, we assume that the reader is familiar with the basic definitions of homotopy theory: homotopy classes of maps and homotopy groups (cf.
Informații despre carte
engleză
Categorii
Dăruiește această carte chiar astăzi
Este foarte ușor
1 Adaugă cartea în coș și selectează Livrează ca un cadou 2 Îți vom trimite un voucher în schimb 3 Cartea va ajunge direct la adresa destinataruluiAr putea de asemenea, să te intereseze
/
Carte broșată
915.39
lei
/
Carte broșată
121.99
lei
/
Carte broșată
59.10
lei
/
Carte broșată
121.53
lei
/
Carte broșată
116.50
lei
/
Copertă tare
639.14
lei
Bună ziua! Sunt Libroamiko, consilierul dumneavoastră de cărți.
Cu ce vă pot ajuta?