J. Lott

发表

Some Geometric Calculations on Wasserstein Space

J. Lott, 2006, math/0612562.

Ricci curvature for metric-measure spaces via optimal transport

C. Villani, J. Lott, 2004, math/0412127.

Optimal transport and Perelman’s reduced volume

J. Lott, 2008, 0804.0343.

Hamilton–Jacobi semigroup on length spaces and applications

John Lott, C. Villani, J. Lott, 2006 .

A Dolbeault–Hilbert complex for a variety with isolated singular points

J. Lott, John Lott, 2019, Annals of K-Theory.

Notes on Perelman's papers

Bruce Kleiner, John Lott, J. Lott, 2006 .

A-hat Genus and Collapsing

J. Lott, 1997, dg-ga/9704008.

Ju n 20 02 LOCAL INDEX THEORY OVER ÉTALE GROUPOIDS

J. Lott, A. Gorokhovsky, 2022 .

Backreaction in the future behavior of an expanding vacuum spacetime

J. Lott, 2017, 1709.03952.

The collapsing geometry of almost Ricci-flat 4-manifolds

J. Lott, 2017, Commentarii Mathematici Helvetici.

The Motion Geometry of a Finite Plane

Thomas J. Brieske, J. Lott, 1978 .

Some Geometric Calculations on Wasserstein Space

J. Lott, 2006, math/0612562.

On the long-time behavior of type-III Ricci flow solutions

J. Lott, 2005, math/0509639.

Collapsing and Dirac-Type Operators

J. Lott, 2000, math/0005009.

Collapsing and the differential form Laplacian: The case of a smooth limit space

J. Lott, 1999, math/9902111.

Remark about heat diffusion on periodic spaces

J. Lott, 1997, dg-ga/9707012.

Signatures and higher signatures of $S^1$-quotients

J. Lott, 1998, math/9804105.

Ricci curvature for metric-measure spaces via optimal transport

C. Villani, J. Lott, 2004, math/0412127.

Hamilton–Jacobi semigroup on length spaces and applications

C. Villani, J. Lott, 2006, math/0612560.

Ricci flow on quasiprojective manifolds II

J. Lott, Zhou Zhang, 2013, 1309.6252.

Optimal Transport and Ricci Curvature for Metric- Measure Spaces

J. Lott, 2006, math/0610154.

Some geometric properties of the Bakry-Émery-Ricci tensor

J. Lott, 2002, math/0211065.

A Hilbert bundle description of differential K-theory

J. Lott, A. Gorokhovsky, 2015, 1512.07185.

$\mathbf{R/Z}$ index theory

J. Lott, 1994 .

Notes on Perelman's papers

J. Lott, B. Kleiner, 2006, math/0605667.

Deficiencies of Lattice Subgroups of Lie Groups

J. Lott, 1997, dg-ga/9710008.

Limit Sets as Examples in Noncommutative Geometry

J. Lott, 2004, math/0404346.

Kasner-like regions near crushing singularities

J. Lott, 2020, Classical and Quantum Gravity.

Classical and Quantum Gravity PAPER Kasner-like regions near crushing singularities *

J. Lott, 2020 .

THE METRIC ASPECT OF NONCOMMUTATIVE GEOMETRY

A. Connes, J. Lott, 1992 .

Optimal transport and Perelman’s reduced volume

J. Lott, 2008, 0804.0343.

Weak curvature conditions and functional inequalities

C. Villani, J. Lott, 2005, math/0506481.

The Zero-in-the-Spectrum Question

J. Lott, 1996, dg-ga/9604005.

Local Index Theory over Etale Groupoids

J. Lott, A. Gorokhovsky, 2001, math/0106035.

Local index theory over foliation groupoids

J. Lott, A. Gorokhovsky, 2004, math/0407246.

ON THE HOMOTOPY INVARIANCE OF HIGHER SIGNATURES FOR MANIFOLDS WITH BOUNDARY

J. Lott, Paolo Piazza, Eric Leichtnam, 1999, math/9907101.

Higher Eta-Invariants

J. Lott, 1992 .

Manifolds with quadratic curvature decay and fast volume growth

J. Lott, 2001, math/0103073.

Torus bundles and the group cohomology of GL(N,Z)

J. Bismut, J. Lott, 1995, dg-ga/9502004.

Degrees of freedom and the quantization of anomalous gauge theories

J. Lott, R. Rajaraman, 1985 .

Particle models and noncommutative geometry

A. Connes, J. Lott, 1991 .

The Geometry of Supergravity Torsion Constraints

J. Lott, 2001, math/0108125.

The Yang-Mills collective-coordinate potential

J. Lott, 1984 .

The index of a transverse Dirac-type operator: the case of abelian Molino sheaf

J. Lott, A. Gorokhovsky, 2010, 1005.0161.

Superconnections and higher index theory

J. Lott, 1992 .

The Dirac Operator and Conformal Compactification

J. Lott, 2000, math/0003140.

Higher-Degree Analogs of the Determinant Line Bundle

J. Lott, 2001, math/0106177.

THE ETA FUNCTION AND SOME NEW ANOMALIES

J. Lott, 1984 .

Comparison geometry of holomorphic bisectional curvature for Kähler manifolds and limit spaces

J. Lott, 2020, Duke Mathematical Journal.

Secondary Analytic Indices

J. Lott, 1995, dg-ga/9503005.

Diffeomorphisms and noncommutative analytic torsion

J. Lott, 1999 .

Flat vector bundles, direct images and higher real analytic torsion

J. Bismut, J. Lott, 1995 .

Equivariant Analytic Torsion for Compact Lie Group Actions

J. Lott, 1994 .

HEAT KERNELS ON COVERING SPACES AND TOPOLOGICAL INVARIANTS

J. Lott, 1992 .

An Index Theorem in Differential K -Theory

D. Freed, J. Lott, 2010 .

R/Z INDEX THEORY

J. Lott, 2002 .

Analytic torsion for group actions

J. Lott, M. Rothenberg, 1991 .

Delocalized L2-Invariants☆

J. Lott, 1999 .

DIFFEOMORPHISMS, ANALYTIC TORSION AND NONCOMMUTATIVE GEOMETRY

J. Lott, 1996, dg-ga/9607006.

A spinorial quasilocal mass

J. Lott, 2022, 2212.09619.

Geometrization of Three-Dimensional Orbifolds via Ricci Flow

J. Lott, B. Kleiner, 2011, 1101.3733.

Collapsing in the Einstein Flow

J. Lott, 2017, Annales Henri Poincaré.

On the initial geometry of a vacuum cosmological spacetime

J. Lott, 2019, Classical and Quantum Gravity.

Ricci flow on three-dimensional manifolds with symmetry

J. Lott, N. Šešum, 2011, 1102.4384.

On tangent cones in Wasserstein space

J. Lott, 2014, 1407.7245.

Eigenvalue estimates and differential form Laplacians on Alexandrov spaces

J. Lott, 2017, 1705.08400.

Renormalization group flow for general σ-models

J. Lott, 1986 .

Remark about scalar curvature and Riemannian submersions

J. Lott, 2005, math/0504421.

Supersymmetric path integrals

J. Lott, 1987 .

L 2-Topological Invariants of 3-manifolds by

J. Lott, W. Lück, 1995 .

Ricci flow on quasi-projective manifolds

J. Lott, Zhou Zhang, 2009, 0906.4496.

On noncollapsed almost Ricci-flat 4-manifolds

J. Lott, V. Kapovitch, 2016, American Journal of Mathematics.

On 3-manifolds with pointwise pinched nonnegative Ricci curvature

J. Lott, 2019, Mathematische Annalen.

Collapsing with a lower bound on the curvature operator

J. Lott, 2012, 1204.6677.

Locally Collapsed 3-Manifolds

Bruce Kleiner, John Lott, J. Lott, 2010, 1005.5106.

Dimensional reduction and the long-time behavior of Ricci flow

J. Lott, 2007, 0711.4063.

Collapsing and the Differential Form Laplacian : The Case of a Singular Limit Space

J. Lott, 2002, math/0201289.

Manifolds with quadratic curvature decay and slow volume growth

John Lott, Zhongmin Shen, Z. Shen, 1998, math/9809097.

Collapsing and the Differential Form Laplacian

J. Lott, 1999 .

Mean Curvature Flow in a Ricci Flow Background

J. Lott, 2011, 1105.6081.

On the spectrum of a finite-volume negatively-curved manifold

J. Lott, 1999, math/9908136.

Index theory for scalar curvature on manifolds with boundary

J. Lott, 2020, 2009.07256.

On the nonrealizability of braid groups by homeomorphisms

J. Lott, I. Agol, Anna Wienhard, 2019 .

Torsion constraints in supergeometry

J. Lott, 1990 .

Â-genus and collapsing

J. Lott, 2000 .

A spinorial quasilocal mass

J. Lott, 2022, 2212.09619.

On scalar curvature lower bounds and scalar curvature measure

J. Lott, 2021, Advances in Mathematics.

Advances in Mathematics

J. Lott, 2022 .

$L^2$-Cohomology of Geometrically Infinite Hyperbolic 3-Manifolds

J. Lott, 1995, dg-ga/9512011.

- COHOMOLOGY OF GEOMETRICALLY INFINITE HYPERBOLIC 3-MANIFOLDS

J. Lott, 1997 .

L2-Cohomology of geometrically infinite hyperbolic 3-manifolds

J. Lott, 1997 .

53C23 Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces 49Q15 Geometric measure and integration theory, integral and normal currents in optimization

C. Villani, Karl-Theodor Sturm, J. Lott, 2022 .

Vacuum charge and the eta function

J. Lott, 1984 .

Eigenvalue bounds for the Dirac operator

J. Lott, 1986 .

On the long-time behavior of type-III Ricci flow solutions

J. Lott, 2005, math/0509639.

A proof of the axial anomaly

J. Lott, 1985 .

L2-topological invariants of 3-manifolds

J. Lott, Wolfgang Lück, 1995 .

Singular Ricci flows I

J. Lott, B. Kleiner, 2014, 1408.2271.

Delocalized $L^2$-Invariants

J. Lott, 1996, dg-ga/9612003.