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THE ACTION OF THE MAPPING CLASS GROUP ON REPRESENTATION VARIETIES
MAPPING CLASS GROUP REPRESENTATION VARIETIES
2015/12/17
These notes are based on lectures given at Zhejiang University, July 14–20, 2008. My goal was to present some analytic techniques that can be used to study the action of the mapping class group on the...
COHOMOLOGY OF SL(2, C) CHARACTER VARIETIES OF SURFACE GROUPS AND THE ACTION OF THE TORELLI GROUP
SL(2, C) CHARACTER VARIETIES SURFACE GROUPS TORELLI GROUP
2015/12/17
We determine the action of the Torelli group on the equivariant cohomology of the space of flat SL(2, C) connections on a closed Riemann surface. We show that the trivial part of the action contains t...
ACTION OF THE JOHNSON-TORELLI GROUP ON REPRESENTATION VARIETIES
JOHNSON-TORELLI mapping class group
2015/9/29
Let Σ be a compact orientable surface with genus g and n boundary components B = (B1,...,Bn). Let c = (c1,...,cn) ∈ [−2,2]n. Then the
mapping class group MCG of Σ acts on the relative SU(2)-cha...
AN ERGODIC ACTION OF THE OUTER AUTOMORPHISM GROUP OF A FREE GROUP
OUTER AUTOMORPHISM ERGODIC ACTION
2015/9/29
For n > 2, the action of the outer automorphism
group of the rank n free group Fn on Hom(Fn, SU(2))/SU(2) is
ergodic with respect to the Lebesgue measure class.
The modular group action on real SL(2){characters of a one-holed torus
one-holed torus group action
2015/9/29
The
action of Γ preserves a Poisson structure dening a Γ{invariant area form on each
−1(t)\ R3. For t < 2, the action of Γ is properly discontinuous on the four contractible components of &...
DESTRUCTION OF INVARIANT CURVES IN THE RESTRICTED CIRCULAR PLANAR THREE-BODY PROBLEM BY USING COMPARISON OF ACTION
INVARIANT CURVES RESTRICTED CIRCULAR PLANAR THREE-BODY PROBLEM
2015/9/25
The classical principle of least action says that orbits of mechanical systems extremize action; an important subclass are those orbits that minimize action. In this paper we utilize this principle al...
ELLIPTIC CURVES WITH MAXIMAL GALOIS ACTION ON THEIR TORSION POINTS
ELLIPTIC CURVES MAXIMAL GALOIS ACTION TORSION POINTS
2015/8/26
Given an elliptic curve E over a number field k, the Galois action on the torsion points of E induces a Galois representation, ρE : Gal(k/k) → GL2(Z b). For a fixed number field k, we describe the ima...
DRINFELD MODULES WITH MAXIMAL GALOIS ACTION ON THEIR TORSION POINTS
DRINFELD MODULES MAXIMAL GALOIS ACTION TORSION POINTS
2015/8/26
To each Drinfeld module of generic characteristic defined over a finitely generated field, one can associate a Galois representation arising from the Galois action on its torsion points. Recent work o...
AN EXPLICIT JACOBIAN OF DIMENSION 3 WITH MAXIMAL GALOIS ACTION
EXPLICIT JACOBIAN DIMENSION 3 MAXIMAL GALOIS ACTION
2015/8/26
We gives an explicit genus 3 curve over Q such that the Galois action on the torsion points of its Jacobian is a large as possible. That such curves exist is a consequence of a theorem of D. Zureick-B...
A BOOLEAN ACTION OF C(M,U(1)) WITHOUT A SPATIAL MODEL AND A RE-EXAMINATION OF THE CAMERON–MARTIN THEOREM
A BOOLEAN ACTION WITHOUT A SPATIAL MODEL RE-EXAMINATION CAMERON–MARTIN THEOREM
2015/8/17
We will demonstrate that if M is an uncountable compact metric space, then there is an action of the Polish group of all continuous functions from M to U(1) on a separable probability algebra which pr...
A Chern-Simons action for noncommutative spaces
Chern-Simons action noncommutative spaces Operator Algebras
2012/4/18
Witten constructed a topological quantum field theory with the Chern-Simons action as Lagrangian. We define a proper noncommutative generalization of the Chern-Simons action. "Proper", in this context...
Entropy, Lyapunov exponents and the volume growth of boundary distortion under the action of dynamical systems
Lyapunov exponents the volume growth of boundary distortion the action of dynamical systems
2012/4/17
We study the connection between the Lyapunov exponents and the volume growth of boundary distortion of regions in the phase space of the dynamical system.
On an algebraic formula and applications to group action on manifolds
algebraic formula applications group action manifolds
2018/4/19
Inspired by a recent result of Cho-Kim-Park, we consider a purely algebraic result. Then given a circle or cyclic group of prime order action on a manifold, we will use it to estimate the lower bound ...
Some remarks on the action of Luzin area operator on Bergman spaces of the unit ball
Lusin area operator Bergmanmetric ball Bergman spaces sampling sequences
2011/9/19
Abstract: We study the action of Luzin area operator on BErgman classes on the unit ball,providing some direct generalizations of recent results of Z.Wu.
Variable elimination in post-translational modification reaction networks with mass-action kinetics
Polynomial equations Mass-action kinetics MAPK cascade Rational functions Chemical Reaction Networks
2011/10/8
Abstract: We define a subclass of Chemical Reaction Networks called Post-Translational Modification systems. Important biological examples of such systems include MAPK cascades and two-component syste...