43 citations · 47 across the 2 of their papers we have counts for
8 papers · 1 filter
Classification of Singular Fibres on Rational Elliptic Surfaces in Characteristic Three
Tyler J. Jarvis, William E. Lang, Nansen Petrosyan +3
We determine and list all possible configurations of singular fibres on rational elliptic surfaces in characteristic three. In total, we find that 267 distinct configurations exist…
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…
Moduli of twisted spin curves
Dan Abramovich, Tyler J. Jarvis
In this note we give a new, natural construction of a compactification of the stack of smooth r-spin curves, which we call the stack of stable twisted -spin curves. This stack i…
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…