Some aspects of hodge theory on non-complete algebraic manifolds

1991 ◽  
pp. 281-316 ◽  
Author(s):  
Ingrid Bauer ◽  
Siegmund Kosarew
Keyword(s):  
Hodge Theory ◽  
Algebraic Manifolds

Teichmüller dynamics and unique ergodicity via currents and Hodge theory

2020 ◽  
Vol 2020 (768) ◽  
pp. 39-54
Author(s):  
Curtis T. McMullen
Keyword(s):  
Hodge Theory ◽  
Unique Ergodicity ◽  
Polygonal Billiards ◽  
Teichmuller Dynamics

AbstractWe present a cohomological proof that recurrence of suitable Teichmüller geodesics implies unique ergodicity of their terminal foliations. This approach also yields concrete estimates for periodic foliations and new results for polygonal billiards.

Irrational Pencils on Non-Compact Algebraic Manifolds

1997 ◽  
Vol 08 (04) ◽  
pp. 441-450 ◽  
Author(s):  
Ingrid Bauer
Keyword(s):  
Algebraic Manifolds

scholarly journals Canonical brackets of a toy model for the Hodge theory without its canonical conjugate momenta

2015 ◽  
Vol 30 (20) ◽  
pp. 1550115 ◽  
Author(s):  
D. Shukla ◽  
T. Bhanja ◽  
R. P. Malik
Keyword(s):  
Present Method ◽  
Hodge Theory ◽  
Rigid Rotor ◽  
Normal Ordering ◽  
Creation And Annihilation Operators ◽  
Basic Concepts ◽  
Definition Of ◽  
Continuous Symmetries ◽  
Internal Symmetries ◽  
Theory Lead

We consider the toy model of a rigid rotor as an example of the Hodge theory within the framework of Becchi–Rouet–Stora–Tyutin (BRST) formalism and show that the internal symmetries of this theory lead to the derivation of canonical brackets amongst the creation and annihilation operators of the dynamical variables where the definition of the canonical conjugate momenta is not required. We invoke only the spin-statistics theorem, normal ordering and basic concepts of continuous symmetries (and their generators) to derive the canonical brackets for the model of a one [Formula: see text]-dimensional (1D) rigid rotor without using the definition of the canonical conjugate momenta anywhere. Our present method of derivation of the basic brackets is conjectured to be true for a class of theories that provide a set of tractable physical examples for the Hodge theory.

scholarly journals Almost direct summands

2014 ◽  
Vol 214 ◽  
pp. 195-204 ◽  
Author(s):  
Bhargav Bhatt
Keyword(s):  
Direct Summand ◽  
Hodge Theory ◽  
Fundamental Theorems ◽  
Ramification Locus

AbstractWe prove new cases of the direct summand conjecture using fundamental theorems inp-adic Hodge theory due to Faltings. The cases tackled include the ones when the ramification locus lies entirely in characteristicp.

scholarly journals Algebraic volume density property of affine algebraic manifolds

2010 ◽  
Vol 181 (3) ◽  
pp. 605-647 ◽  
Author(s):  
Shulim Kaliman ◽  
Frank Kutzschebauch
Keyword(s):  
Volume Density ◽  
Density Property ◽  
Algebraic Manifolds

scholarly journals Hodge Theory of the Middle Convolution

2013 ◽  
Vol 49 (4) ◽  
pp. 761-800 ◽  
Author(s):  
Michael Dettweiler ◽  
Claude Sabbah
Keyword(s):  
Hodge Theory ◽  
Middle Convolution

Harmonic Maps and Hodge Theory

2017 ◽  
pp. 383-402
Author(s):  
James Carlson ◽  
Stefan Muller-Stach ◽  
Chris Peters
Keyword(s):  
Harmonic Maps ◽  
Hodge Theory
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