43 citations · 43 across the 1 of their papers we have counts for
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Pointed Admissible G-Covers and G-equivariant Cohomological Field Theories
Tyler J. Jarvis, Ralph Kaufmann, Takashi Kimura
For any finite group G we define the moduli space of pointed admissible G-covers and the concept of a G-equivariant cohomological field theory (G-CohFT), which, when G is the trivi…
Orbifold quantum cohomology of the classifying space of a finite group
Tyler J. Jarvis, Takashi Kimura
We work through, in detail, the orbifold quantum cohomology, with gravitational descendants, of the stack BG, the point modulo trivial action of a finite group G. We provide a simp…
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…
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…
A Change of Coordinates on the Large Phase Space of Quantum Cohomology
Alexandre Kabanov, Takashi Kimura
The Gromov-Witten invariants of a smooth, projective variety , when twisted by the tautological classes on the moduli space of stable maps, give rise to a family of cohomologica…