# Search results for: Arkady Vaintrob

Selecta Mathematica > 2010 > 16 > 3 > 533-629

Communications in Mathematical Physics > 2005 > 259 > 3 > 511-543

*r*-spin Gromov-Witten invariants and

*r*-spin quantum cohomology of a projective variety

*V*, where

*r*≥2 is an integer. The main element of the construction is the space of

*r*-spin maps, the 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 curve. We prove that is a Deligne-Mumford stack and use it to define...

Advances in Mathematics > 2003 > 180 > 2 > 765-797

_{L}and Milnor higher linking numbers of links from the point of view of finite-type (Vassiliev) invariants. We give a formula for the first non-vanishing coefficient of

_{L}of an m-component link L all of whose Milnor numbers μ

_{i}

_{1}

_{.}..

_{i}

_{p}vanish for p=<n. We express this coefficient as a polynomial...

Compositio Mathematica > 2001 > 126 > 2 > 157-212

*r*-spin curves assemble into a generating function which yields a solution of the semiclassical limit of the KdV

_{ r }equations. We formulate axioms for a cohomology class on this moduli...

Communications in Mathematical Physics > 1999 > 204 > 2 > 439-473

Communications in Mathematical Physics > 1997 > 185 > 1 > 93-127

Journal of Geometry and Physics > 1996 > 18 > 1 > 59-75

^{0}

^{1}on M. We prove the equivariant Morse lemma for this action and show...

Journal of Geometry and Physics > 1995 > 15 > 2 > 109-122