The Pontrjagin class of a Sasakian submersion

1983 ◽  
Vol 14 (3) ◽  
pp. 261-272
Author(s):  
Yosio Mutō
Keyword(s):  
Pontrjagin Class

On the first pontrjagin class of homotopy complex projective spaces

2012 ◽  
Vol 62 (3) ◽  
Author(s):  
Yasuhiko Kitada
Keyword(s):  
Projective Space ◽  
Smooth Manifold ◽  
Complex Projective Space ◽  
Projective Spaces ◽  
Homotopy Equivalent ◽  
Complex Projective Spaces ◽  
Pontrjagin Class ◽  
Complex Projective ◽  
Homotopy Complex

AbstractLet M 2n be a closed smooth manifold homotopy equivalent to the complex projective space ℂP(n). It is known that the first Pontrjagin class p 1(M) of M 2n has the form (n+1+24α(M))u 2 for some integer α(M) where u is a generator of H 2(M; ℤ). We prove that α(M) is even when n is even but not divisible by 64.

scholarly journals The Pontrjagin class of an orbit space

Topology ◽  
1972 ◽  
Vol 11 (3) ◽  
pp. 253-264 ◽  
Author(s):  
Don Zagier
Keyword(s):  
Orbit Space ◽  
Pontrjagin Class

scholarly journals ON EFFECTIVE F-THEORY ACTION IN TYPE IIA COMPACTIFICATIONS

2007 ◽  
Vol 22 (07) ◽  
pp. 1279-1300 ◽  
Author(s):  
IGOR KRIZ ◽  
HAO XING
Keyword(s):  
String Theory ◽  
Partition Function ◽  
Effective Action ◽  
Space Time ◽  
Elliptic Cohomology ◽  
Pontrjagin Class ◽  
Geometric Term ◽  
M Theory ◽  
Special Case

Diaconescu, Moore and Witten proved that the partition function of type IIA string theory coincides (to the extent checked) with the partition function of M-theory. One of us (Kriz) and Sati proposed in a previous paper a refinement of the IIA partition function using elliptic cohomology and conjectured that it coincides with a partition function coming from F-theory. In this paper, we define the geometric term of the F-theoretical effective action on type IIA compactifications. In the special case when the first Pontrjagin class of space–time vanishes, we also prove a version of the Kriz–Sati conjecture by extending the arguments of Diaconescu–Moore–Witten. We also briefly discuss why even this special case allows interesting examples.

scholarly journals Calculation of the Pontrjagin class for U(1) instantons on non-commutative Bbb R4

2002 ◽  
Vol 2002 (08) ◽  
pp. 028-028 ◽  
Author(s):  
Tomomi Ishikawa ◽  
Shin-Ichiro Kuroki ◽  
Akifumi Sako
Keyword(s):  
Pontrjagin Class
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