Witten genus and string complete intersections
نویسندگان
چکیده
منابع مشابه
Witten Genus and String Complete Intersections
Let M be a 4k-dimensional closed oriented smooth manifold. Let E be a complex vector bundle over M . For any complex number t , set 3t(E)= C | M + t E + t232(E)+ · · · , St(E)= C | M + t E + t2S2(E)+ · · · , where for any integer j ≥ 1, 3 j (E) is the j-th exterior power of E and S j (E) is the j-th symmetric power of E ; see [Atiyah 1967]. Set Ẽ = E −Crk(E). Let q = e iτ with τ ∈ H, the upper ...
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Article history: Received 14 September 2009 Accepted after revision 3 February 2010 Available online 19 February 2010 Presented by Jean-Michel Bismut We construct a mod 2 analogue of the Witten genus for 8k+2 dimensional spin manifolds, as well as modular characteristic numbers for a class of spin manifolds which we call string manifolds. When these spin manifolds are actually spin, one recover...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2008
ISSN: 0030-8730
DOI: 10.2140/pjm.2008.234.249