Genus calculations of 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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We state and prove a long-elusive relation between genus-one Gromov-Witten of a complete intersection and twisted Gromov-Witten invariants of the ambient projective space. As shown in a previous paper, certain naturally arising cones of holomorphic vector bundle sections over the main component M 0 1,k(P , d) of the moduli space of stable genus-one holomorphic maps into P have a well-defined eu...
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We describe the structure of mirror formulas for genus 0 Gromov-Witten invariants of projective complete intersections with any number of marked points and provide an explicit algorithm for obtaining the relevant structure coefficients. As an application, we give explicit closed formulas for the genus 0 Gromov-Witten invariants of Calabi-Yau complete intersections with 3 and 4 constraints. The ...
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We establish two criteria for certain local algebras to be complete intersections. These criteria play an important role in A. Wiles’s proof that all semi-stable elliptic curves over Q are modular. Introduction In this paper we discuss two results in commutative algebra that are used in A. Wiles’s proof that all semi-stable elliptic curves over Q are modular [11]. We first fix some notation tha...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 1998
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927879808826291