4 papers · 1 filter
Stable Spin Maps, Gromov-Witten Invariants, and Quantum Cohomology
Tyler J. Jarvis, Takashi Kimura, Arkady Vaintrob
We introduce the stack of r-spin maps. These are stable maps into a variety V from n-pointed algebraic curves of genus g, with the additional data of an r-spin structure on the cur…
Algebraic construction of Witten's top Chern class
Alexander Polishchuk, Arkady Vaintrob
We give a construction of Witten's "top Chern class" on the compactified moduli space of curves with higher spin structures and show that it satisfies most of the axioms proposed i…
Gravitational Descendants and the Moduli Space of Higher Spin Curves
Tyler J. Jarvis, Takashi Kimura, Arkady Vaintrob
The purpose of this note is introduce a new axiom (called the Descent Axiom) in the theory of -spin cohomological field theories. This axiom explains the origin of gravitational…
Tensor products of Frobenius manifolds and moduli spaces of higher spin curves
Tyler J. Jarvis, Takashi Kimura, Arkady Vaintrob
We review progress on the generalized Witten conjecture and some of its major ingredients. This conjecture states that certain intersection numbers on the moduli space of higher sp…